6. How Many Gallons Of Paint Would Be Needed To Paint A Two-story House 40 Ft Long And 30 Ft Wide?

Problem ane

Out of 230 racers who started the marathon, 212 completed the race, 14 gave upwardly, and 4 were disqualified. What per centum did non complete the marathon?

Problem 2

Patrick left an $\$ 8$ tip on a $\$ 50$ restaurant bill. What percent tip is that?

Problem 3

Ireland has a $23 \%$ VAT (value-added tax, like to a sales tax). How much will the VAT exist on a buy of a $€ 250$ item?

Problem iv

Employees in 2012 paid $four.ii \%$ of their gross wages towards social security (FICA tax), while employers paid another $6.2 \% .$ How much will someone earning $\$ 45,000$ a twelvemonth pay towards social security out of their gross wages?

Problem five

A project on Kickstarter.com was aiming to enhance $\$ xv,000$ for a precision coffee press. They ended up with 714 supporters, raising $557 \%$ of their goal. How much did they heighten?

Problem 6

Another project on Kickstarter for an iPad stylus raised $one,253 \%$ of their goal, raising a total of $\$ 313,490$ from 7,511 supporters. What was their original goal?

Trouble 7

The population of a town increased from 3,250 in 2008 to four,300 in 2010 . Find the absolute and relative (percent) increase.

Problem 8

The number of CDs sold in 2010 was 114 million, down from 147 meg the previous twelvemonth $^{6}$. Find the accented and relative (percent) decrease.

Trouble 9

A company wants to decrease their energy utilisation past $xv \%$.
a. If their electric beak is currently $\$ 2,200$ a month, what will their bill exist if they're successful?
b. If their adjacent nib is $\$ 1,700$ a calendar month, were they successful? Why or why non?

Trouble 10

A shop is hoping an advertising campaign will increase their number of customers past $xxx \%$. They currently have about eighty customers a day.
a. How many customers volition they have if their campaign is successful?
b. If they increase to 120 customers a day, were they successful? Why or why not?

Problem 11

An article reports "attendance dropped $6 \%$ this year, to 300 ." What was the omnipresence earlier the drop?

Problem 12

An article reports "sales take grown past $30 \%$ this year, to $\$ 200$ million." What were sales before the growth?

Problem 13

The Walden Academy had 47,456 students in $2010,$ while Kaplan University had 77,966 students. Complete the following statements:
a. Kaplan's enrollment was _____$\%$ larger than Walden'due south.
b. Walden's enrollment was ________$\%$ smaller than Kaplan's.
c. Walden's enrollment was _________${ }^{\%}$ of Kaplan's.

Problem 14

In the 2012 Olympics, Usain Bolt ran the $100 \mathrm{~m}$ nuance in nine.63 seconds. Jim Hines won the 1968 Olympic gold with a time of nine.95 seconds.
a. Bolt's fourth dimension was ________$ \%$ faster than Hines'.
b. Hine' time was ________$ \%$ slower than Commodities's.
c. Hine' fourth dimension was ________$\%$ of Bolt'due south.

Problem xv

A store has clearance items that have been marked down by $60 \%$. They are having a sale, advertising an boosted $30 \%$ off clearance items. What percentage of the original cost practise you end up paying?

Problem 16

Which is better: having a stock that goes upwards $30 \%$ on Monday than drops $30 \%$ on Tuesday, or a stock that drops $30 \%$ on Monday and goes up $thirty \%$ on Tuesday? In each case, what is the net per centum gain or loss?

Problem 17

Are these two claims equivalent, in disharmonize, or non comparable because they're talking almost different things?
a. "sixteen.three\% of Americans are without health insurance"
b. "only $55.9 \%$ of adults receive employer provided health insurance"

Problem 18

Are these two claims equivalent, in conflict, or not comparable because they're talking nigh different things?
a. "We mark upward the wholesale price by $33 \%$ to come upward with the retail cost"
b. "The store has a $25 \%$ profit margin"

Problem 19

Are these two claims equivalent, in conflict, or non comparable because they're talking nigh different things?
a. "Every year since 1950 , the number of American children gunned down has doubled."
b. "The number of child gunshot deaths has doubled from 1950 to 1994 ."

Problem 20

Are these 2 claims equivalent, in conflict, or not comparable because they're talking about different things? $^{9}$
a. " 75 percent of the federal health intendance law'southward taxes would be paid by those earning less than $\$ 120,000$ a year"
b. " 76 percentage of those who would pay the penalty [health care law's taxes] for not having insurance in 2016 would earn under $\$ 120,000$ "

Trouble 21

Are these ii claims equivalent, in conflict, or not comparable because they're talking about dissimilar things?
a. "The schoolhouse levy is simply a $0.1 \%$ increment of the holding tax rate."
b. "This new levy is a $12 \%$ revenue enhancement hike, raising our total charge per unit to $\$ 9.33$ per $\$ 1000$ of value."

Problem 22

Are the values compared in this statement comparable or not comparable? "Guns accept murdered more than Americans here at home in recent years than take died on the battlefields of Iraq and Afghanistan. In support of the two wars, more than 6,500 American soldiers have lost their lives. During the same period, however, guns take been used to murder well-nigh 100,000 people on American soil" 10

Problem 23

A high school currently has a $thirty \%$ dropout rate. They've been tasked to decrease that rate past $20 \%$. Find the equivalent percentage point drib.

Problem 24

A politician's back up grew from $42 \%$ by 3 percentage points to $45 \% .$ What percentage (relative) alter is this?

Problem 25

Marcy has a $70 \%$ average in her class going into the last examination. She says "I need to go a $100 \%$ on this final and then I can raise my score to $85 \%$." Is she correct?

Trouble 26

Suppose you accept one quart of h2o/juice mix that is $l \%$ juice, and you add 2 quarts of juice. What per centum juice is the final mix?

Problem 27

Find a unit rate: You bought 10 pounds of potatoes for $\$ 4 .$

Trouble 27

Find a unit rate: Yous bought ten pounds of potatoes for $\$ 4$.

Problem 28

Find a unit rate: Joel ran 1500 meters in 4 minutes, 45 seconds.

Problem 31

A crepe recipe calls for two eggs, 1 cup of flour, and 1 cup of milk. How much flour would yous need if you employ 5 eggs?

Trouble 32

An 8 ft length of 4 inch wide crown molding costs $\$ 14 .$ How much will information technology toll to buy $forty f t$ of crown molding?

Problem 33

4 3 -megawatt current of air turbines can supply enough electricity to ability 3000 homes. How many turbines would be required to power 55,000 homes?

Problem 34

A highway had a landslide, where iii,000 cubic yards of textile fell on the route, requiring 200 dump truck loads to clear. On another highway, a slide left twoscore,000 cubic yards on the road. How many dump truck loads would exist needed to clear this slide?

Trouble 37

A wire costs $\$ two$ per meter. How much will 3 kilometers of wire price?

Problem 38

Sugar contains 15 calories per teaspoon. How many calories are in i loving cup of sugar?

Problem 39

A car is driving at 100 kilometers per hour. How far does information technology travel in two seconds?

Problem 40

A chain weighs x pounds per foot. How many ounces will 4 inches weigh?

Problem 41

The table below gives data on three movies. Gross earnings is the amount of coin the picture brings in. Compare the net earnings (money fabricated after expenses) for the three movies.
$$
\brainstorm{array}{|l|l|fifty|l|}
\hline \text { Pic } & \text { Release Appointment } & \text { Budget } & \text { Gross earnings } \\
\hline \text { Saw } & 10 / 29 / 2004 & \$ ane,200,000 & \$ 103,096,345 \\
\hline \text { Titanic } & 12 / 19 / 1997 & \$ 200,000,000 & \$ 1,842,879,955 \\
\hline \text { Jurassic Park } & vi / 11 / 1993 & \$ 63,000,000 & \$ 923,863,984 \\
\hline
\end{array}
$$

Problem 42

For the movies in the previous problem, which provided the best return on investment?

Problem 43

The population of the U.S. is about 309,975,000 , covering a country area of three,717,000 square miles. The population of Bharat is nigh 1,184,639,000 , covering a land area of 1,269,000 foursquare miles. Compare the population densities of the ii countries.

Problem 44

The Gdp (Gross Domestic Product) of Red china was $\$ five,739$ billion in 2010 , and the GDP of Sweden was $\$ 435$ billion. The population of China is nigh one,347 million, while the population of Sweden is about 9.5 million. Compare the GDP per capita of the 2 countries.

Problem 45

In June 2012 , Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers, etc.). Create a comparing to aid empathize the amount of tweets in a year by imagining each grapheme was a drop of water and comparing to filling something upward.

Problem 46

The photo sharing site Flickr had 2.7 billion photos in June 2012. Create a comparison to empathise this number by bold each picture is about 2 megabytes in size, and comparing to the data stored on other media like DVDs, iPods, or wink drives.

Problem 47

Your chocolate milk mix says to utilize iv scoops of mix for 2 cups of milk. Subsequently pouring in the milk, you lot showtime adding the mix, simply become distracted and accidentally put in 5 scoops of mix. How can you adapt the mix if:
a. At that place is withal room in the cup?
b. The cup is already full?

Trouble 48

A recipe for sabayon calls for ii egg yolks, iii tablespoons of sugar, and $1 / four$ cup of white vino. After corking the eggs, yous start measuring the carbohydrate, but accidentally put in iv tablespoons of sugar. How tin can yous recoup?

Problem 49

The Deepwater Horizon oil spill resulted in four.ix million barrels of oil spilling into the Gulf of Mexico. Each barrel of oil can exist processed into about 19 gallons of gasoline. How many cars could this have fueled for a twelvemonth? Assume an average car gets 20 miles to the gallon, and drives most 12,000 miles in a twelvemonth.

Trouble l

The store is selling lemons at 2 for $\$ i .$ Each yields about 2 tablespoons of juice. How much volition it cost to buy enough lemons to brand a 9 -inch lemon pie requiring $1 / 2$ loving cup of lemon juice?

Problem 51

A piece of newspaper can be made into a cylinder in ii ways: by joining the brusk sides together, or past joining the long sides together $^{12}$. Which cylinder would hold more? How much more?

Problem 52

Which of these glasses contains more than liquid? How much more?

Trouble 53

Estimate the values by making reasonable approximations for unknown values, or by doing some research to notice reasonable values.
Judge how many gallons of h2o you drink in a year

Problem 54

Estimate the values by making reasonable approximations for unknown values, or by doing some inquiry to discover reasonable values.
Guess how many times y'all blink in a solar day.

Problem 55

Estimate the values by making reasonable approximations for unknown values, or by doing some research to discover reasonable values.
How much does the h2o in a 6 -person hot tub weigh?

Trouble 56

Estimate the values past making reasonable approximations for unknown values, or by doing some enquiry to find reasonable values.
How many gallons of pigment would be needed to paint a two-story house $40 \mathrm{ft}$ long and thirty ft wide?

Problem 57

During the landing of the Mars Science Laboratory Marvel, it was reported that the signal from the rover would have 14 minutes to reach earth. Radio signals travel at the speed of light, near 186,000 miles per 2nd. How far was Mars from Earth when Curiosity landed?

Trouble 58

Information technology is estimated that a driver takes, on average, ane.five seconds from seeing an obstruction to reacting past applying the brake or swerving. How far will a car traveling at 60 miles per hour travel (in feet) earlier the commuter reacts to an obstacle?

Problem 59

The flash of lightning travels at the speed of calorie-free, which is virtually 186,000 miles per 2d. The sound of lightning (thunder) travels at the speed of audio, which is about 750 miles per hour.
a. If you run into a wink of lightning, then hear the thunder 4 seconds later, how far away is the lightning?
b. Now let's generalize that result. Suppose information technology takes $n$ seconds to hear the thunder after a wink of lightning. How far abroad is the lightning, in terms of $n ?$

Problem 60

Sound travels almost 750 miles per hour. If you stand up in a parking lot near a building and sound a horn, you volition hear an repeat.
a. Suppose it takes well-nigh $1 / 2$ a 2nd to hear the echo. How far away is the building ${ }^{13}$ ?
b. Now let's generalize that result. Suppose it takes $n$ seconds to hear the echo. How far away is the building, in terms of $northward ?$

Problem 61

Information technology takes an air pump v minutes to fill a twin sized air mattress ( 39 by viii.75 by 75 inches). How long volition it accept to fill a queen sized mattress $(60$ by eight.75 by fourscore inches)?

Problem 62

It takes your garden hose 20 seconds to fill your 2 -gallon watering can. How long volition information technology take to make full
a. An inflatable pool measuring 3 feet wide, 8 feet long, and 1 foot deep. ${ }^{14}$
b. A round inflatable pool 13 anxiety in bore and three feet deep.

Problem 63

Yous want to put a 2 " thick layer of topsoil for a new 20'x30' garden. The dirt shop sells past the cubic yards. How many cubic yards will yous demand to order?

Problem 64

A box of Jell-O costs $\$ 0.50$, and makes two cups. How much would it toll to fill up a swimming puddle 4 feet deep, viii feet wide, and 12 feet long with Jell-O? (one cubic human foot is about vii.5 gallons)

Problem 65

You read online that a $15 \mathrm{ft}$ by $20 \mathrm{ft}$ brick patio would toll almost $\$ 2,275$ to take professionally installed. Gauge the toll of having a 18 by 22 ft brick patio installed.

Problem 66

I was at the shop, and saw two sizes of avocados existence sold. The regular size sold for $\$ 0.88$ each, while the jumbo ones sold for $\$ ane.68$ each. Which is the better deal?

Trouble 67

The grocery store has bulk pecans on sale, which is nifty since yous're planning on making 10 pecan pies for a wedding. Your recipe calls for $xiii / 4$ cups pecans per pie. Yet, in the bulk section there's simply a scale available, non a measuring loving cup. You run over to the baking aisle and detect a bag of pecans, and look at the nutrition characterization to get together some info. How many pounds of pecans should y'all buy?

Trouble 68

Soda is often sold in xx ounce bottles. The diet characterization for one of these bottles is shown to the right. A packet of carbohydrate (the kind they accept at restaurants for your coffee or tea) typically contain iv grams of sugar in the U.S. Drinking a twenty oz soda is equivalent to eating how many packets of sugar?

Problem 69

Yous're planning on making 6 meatloafs for a party. You go to the store to buy breadcrumbs, and run into they are sold past the canister. How many canisters do you lot need to buy?

Problem seventy

Your friend wants to cover their car in bottle caps, like in this picture. ${ }^{17}$ How many canteen caps are you going to need?

Problem 71

You need to purchase some craven for dinner tonight. You found an ad showing that the shop beyond town has it on sale for $\$ 2.99$ a pound, which is cheaper than your usual neighborhood shop, which sells information technology for $\$ 3.79$ a pound. Is it worth the extra drive?

Problem 72

I have an onetime gas furnace, and am because replacing it with a new, high efficiency model. Is upgrading worth it?

Trouble 73

Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money?

Problem 74

Marcus is because going car-free to relieve coin and exist more environmentally friendly. Is this financially a good determination?

Problem 75

Inquiry or make educated estimates for any unknown quantities needed to respond the question.
You lot want to travel from Tacoma, WA to Chico, CA for a nuptials. Compare the costs and time involved with driving, flight, and taking a railroad train. Assume that if y'all wing or take the train you'll need to rent a car while you're at that place. Which pick is best?

Problem 76

Research or brand educated estimates for any unknown quantities needed to answer the question.
Y'all want to paint the walls of a $6 \mathrm{ft}$ by $9 \mathrm{ft}$ storage room that has one door and i window. You want to put on two coats of paint. How many gallons and/or quarts of paint should you buy to paint the room every bit cheaply equally possible?

Problem 77

Enquiry or brand educated estimates for whatever unknown quantities needed to respond the question.
A restaurant in New York tiled their floor with pennies ${ }^{18}$. But for the materials, is this more expensive than using a more than traditional material similar ceramic tiles? If each penny has to exist laid by mitt, estimate how long information technology would accept to lay the pennies for a $12 \mathrm{ft}$ by 10ft room. Considering material and labor costs, are pennies a cost-effective replacement for ceramic tiles?

Trouble 78

Research or make educated estimates for whatsoever unknown quantities needed to answer the question.
You are considering taking upward part of your dorsum yard and turning it into a vegetable garden, to grow broccoli, tomatoes, and zucchini. Will doing and so salvage you money, or cost y'all more buying vegetables from the store?

Trouble 79

Research or brand educated estimates for any unknown quantities needed to answer the question.
Barry is trying to make up one's mind whether to keep his 1993 Honda Civic with 140,000 miles, or trade it in for a used 2008 Honda Civic. Consider gas, maintenance, and insurance costs in helping him make a decision.

Trouble 80

Inquiry or brand educated estimates for whatever unknown quantities needed to reply the question.
Some people merits it costs more than to eat vegetarian, while some claim it costs less. Examine your own grocery habits, and compare your electric current costs to the costs of switching your diet (from omnivore to vegetarian or vice versa as advisable). Which diet is more cost effective based on your eating habits?

Source: https://www.numerade.com/books/chapter/problem-solving-4/

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