Solving Proportions Word Problems - Examples & Practice
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- Proportion Word Problem Walk-through We're going to walk through a word problem dealing with proportions! Mark Trumbo of the Arizona Diamondbacks has hit five home runs in the t…
By Alex Federspiel, Christine, Amy Feraco, Anusha Rahman
- Rate Word Problems To solve this word problem, we need to figure out how many words Kayla can type per minute. The word per is a trigger, telling you that we are going to be wor…
By Hannah Bonville, Alex Federspiel, Anusha Rahman
- Proportions in Word Problems The first step in solving any word problem is translating it from words to mathematical expressions. Let's start by writing a fraction to represent …
By Hannah Bonville, Alex Federspiel, Christine, Jonathan Heller, Anusha Rahman
Problems 79
- You can buy 12 eggs at Food4Ever for 2.18 USD. You can buy 10 eggs at SuperShopper for 1.90 USD. Which store has the better deal for eggs?
- A bakery can make 100100100 cupcakes in 222 hours. How many can they make in 303030 minutes?
- Garret took 333 pages of notes during a one and a half hour class. Writing at the same rate, how many pages of notes would he take during a 444 hour and 151515 minute class?
- Steve payed 58.75\58.7558.75 for 707070 cans of soup. If he were to buy 666 cans at the same unit price, how much would it cost?
- A Ferris wheel can accommodate 55 people in 22 minutes. How many can it accommodate in 3 hours?
- Nate drives 454545 miles per hour. Evan drives 252525 meters per second. What's Nate's speed compared to Evan's?
- James earned a total of 800\800800 selling 18 old textbooks. Assuming they all sell for the same amount, how many does he need to sell in order to earn 2222\22222222?
- Kevin took a trip to Mexico. When he returned home he converted all of his Pesos back into dollars. How much did he receive if he exchanged 66.5 Pesos at a rate of 8.86=15.7\8.8…
- Nick scaled a picture down to a new width of 3.2 inches. What is the new height if it was originally 96 inches tall and 69.3 inches wide?
- Anna bought two packs of Oreos for 7.36\7.367.36. How many packs can Cooper buy if he has 90.54\90.5490.54?
- Your car averages 16 miles per gallon. How many gallons would you use if you traveled 400 miles? If gas is 3.18\3.183.18 per gallon, how much would you spend?
- You want to find the height of a building and all you have is a 333 ft. ruler. You notice the sun is casting a shadow of the building. Measuring the shadow you get 375375375 ft.…
- Proportions are also used when scaling things to size. If you find a landscape picture (wider than tall) that's 380038003800 x 950950950 pixels and you want it to keep the same …
- If you have similar triangles, you can also use proportions to find a missing length. Solve for xxx, rounded to the nearest hundredth.
- Proportions are used to convert units. If you know 111 kilometers equals 0.6213710.6213710.621371 miles, determine how many miles are in a 10K10K10K.
- Proportions are also used for quick everyday calculations. If a 5lb5 lb5lb roast will serve 151515 people what size roast is needed for 262626 people?
- Martha heard that the distance between her house and Christopher's is four kilometers. Martha can walk 1.25 meters-per-second1.25 \text{ meters-per-second}1.25 meters-per-second…
- The highest total yearly rainfall ever recorded was in Cherrapunji, India, in 1860, with a total of 26470 mm. What was the average rainfall in millimeters per hour during that y…
- Suppose that a can of food can feed 444 dogs or 777 cats. If you have 777 cans of food and you have fed 282828 cats, how many dogs can you feed with the remaining food?
- If half of the students at a school walk to school, a third of the students bike to school, an eighth of the students run to school, and the remaining students drive, what fract…
- Assuming that you sold every watermelon at the same price and that you sold 312 in watermelons, what is the total amount that the tourists from tour group A paid for their water…
- The time now is 1 o’clock. The hour hand of the clock will next overlap the minute hand of the clock in mn\frac{m}{n}nm hours, where mmm and nnn are relatively prime positive i…
- The ratio of dogs to cats in the vet's office is 3 dogs:7 cats.3\text{ dogs} : 7 \text{ cats}.3 dogs:7 cats. There are 212121 dogs, how many cats are there?
- You spend 202020 weeks working at your favorite restaurant. You work 777 days a week and 888 hours every day. What is the ratio of hours spent working to hours spent not working…
- Clara is throwing a party, and she needs 666 liters of soda for every 141414 guests. If she has 424242 guests, how many liters of soda does Clara need?
- Suppose Sam's opportunity cost for ironing 111 shirt is cooking 333 meals, meaning that he needs the same amount of time to iron 111 shirt as he needs to cook 333 meals. What wo…
- Brandon runs one mile in 777 minutes and 303030 seconds. Which proportion reveals how long it would take him to run 26,00026,00026,000 feet?
- When Annie travels from Canada to Britain, the exchange rate is 111 British pound =1.63= 1.63=1.63 Canadian dollars. She wants to buy a skirt that costs 323232 British pounds, a…
- Jacob is selling wrapping paper for 666 dollars per roll. To win a weekend trip to Yellowstone National Park, he needs to sell 612612612 dollars of wrapping paper. How many roll…
- Drew spends 64.80\64.8064.80 for 222 tanks of gas. If he goes through 6.26.26.2 tanks of gas, assuming the unit price doesn't change, how much does he spend?
- A recipe for three dozen biscuits needs 650650650 g of flour. How many whole biscuits can be made with 1,0201,0201,020 g of flour?
- Your teacher gives you two similar triangles. The first has a height of 121212 ft and a base length of 444 ft. The second has a height of 333 ft. What is the second's base length?
- A survey was taken in a town of 3,0253,0253,025 people. Of the 427427427 people surveyed, 400400400 had cell phones. Based on these results, how many people in the whole town di…
- A golf store is having a sale in which one club costs 42.50\42.5042.50. Rich has 450\450450 to spend. How many clubs can he buy?
- Stacey ran 6.5 miles from 9:30 am to 11:15 am. At 11:30 am, she decides to go 6 more miles at the same rate. At what time will she finish the additional 6 miles?
- Erik babysits for 555 hours and receives 454545 dollars. How much will he make, in cents, if he works for 4.54.54.5 hours his next shift?
- Organic oranges cost 1.28\1.281.28/lb at the local grocery store. To make a pitcher of home-squeezed orange juice, you need 606060 oz of oranges. Based on the price given, how m…
- Alex grades around 16.5 tests in 333 hours and 151515 minutes. If he grades for 1,2871,2871,287 minutes total, around how many tests did he grade? (Round to the nearest whole nu…
- A pump moves 41 gallons in 6 minutes and 30 seconds. Convert this rate to liters per second (to the nearest tenth).
- Janice does an experiment involving the flight speeds of turkeys versus geese. If she hypothesizes that geese fly at faster rates than turkeys, which of the following measuremen…
- A piece of yarn is 26 inches long. When it is cut into two pieces, the lengths of the the resulting strings have a 3:43:43:4 ratio. What are the lengths of the two pieces?
- Cameron owns land with an assessed worth of 82,000\82,00082,000, and it is taxed at 2,210\2,2102,210. If Jessica's property is taxed at 4,615\4,6154,615, what is the assessed va…
- A photographer decides to enlarge a 444 inch long by 666 inch wide photograph to have a length of 2.22.22.2 feet. What is the width of the new photo?
- If Anderson works for 6.3 hours and received 57.50\57.5057.50, how much will he earn if he works for 250 minutes?
- In a forest, a woman with a height of 555 feet and 999 inches casts a shadow that is 8.68.68.6 feet long. If a tree in the same forest is 767676 feet tall, how long is its shadow?
- An election resulted in a ratio of around 7:57:57:5 no votes to yes votes. How many votes were yes's if 6,9716,9716,971 votes were no's? Round your answer to the nearest whole v…
- Donald is on a 632632632 mile road trip and sets a goal to reach his destination in 111111 hours. If he travels 156156156 miles in 2.32.32.3 hours, how many hours shorter will h…
- Jon is planting seeds in his garden. He ends up fitting 262626 seeds in an area of 9 ft29\text{ ft}^29 ft2. If his garden is 40 ft240\text{ ft}^240 ft2, how many whole seeds can…
- An architect creates a blueprint in which 1.5 inches=1foot1.5 \text{ inches} = 1 \text{foot}1.5 inches=1foot. If a bathroom has a width of 10.5inches10.5 \text{inches}10.5inches…
- A survey conducted in a small town reveals that 161616 out of 400400400 people do not have social media. If there are 1,7311,7311,731 residents in the town, how many residents d…
- One textbook costs 135\135135. How many textbooks can you buy with 480\480480? Assume each textbook has the same price.
- Approximately what is the ratio of viewers that Adam will have to those that Dwayne and Kevin had?
- Select the ingredient that requires you to use a 14\frac1441 cup.
- A large roomful of people divides into teams of size 222 or 333 each for a project. Midway through, they go outside for a break. While outside, you survey them (not knowing who …
- Suppose that your chance of being cast for a certain role is proportional to your skill level. If you are 111 of 100100100 people auditioning, and everyone is equal in skill lev…
- Steel is one of the world's most recycled materials, because any grade of steel can be recycled into top quality new metal. In North America, two-thirds of all steel is recycled…
- Suppose the average length of a drive-thru is 250250250 feet. Furthermore, suppose your car gets 23.623.623.6 miles per gallon. The cost of a gallon of gas is 2.29\2.292.29. Abo…
- Dasha can read, on average, a page per 142 seconds. If her book, It, is 1065 pages long, approximately how many hours will it take her to finish it?
- A U-2 spy plane's camera has the resolution of 2.52.52.5 feet at an altitude of 60,00060,00060,000 feet. If you were flying in the U-2 spy plane, what is the smallest object tha…
- If the water from this storm was all collected (and purified), how many people could it support for one week?
- If the Death Coop's diameter is proportional to the chicken's height, about what percent of the Death Star would the chicken's Death Coop encompass (assuming it has the same num…
- When making sourdough bread, the ratio of water to flour is 222 to 333. For a regular loaf, I use 400400400 grams of water. How many grams of flour would I use?
- Every time I go to Chipotle I steal 28 napkins. If I have 58240 stolen napkins, how many times have I gone to Chipotle?
- Five pairs of earrings costs 20. How much does one earring cost?
- Millie's sells half a dozen of donuts at 5 dollars. Assuming the unit price of a donut stays consistent and you can get any amount of donuts you want, how much money would you n…
- After an hour of being around Courtney, Gabi's happiness dropped 20 points. Assuming the two are proportional, if she has to work with Courtney for four and half hours, how much…
- Captain Sawbuck and his crew are following a map to some buried treasure. The scale at the bottom of the map says that that each centimeter on the map corresponds to 2.22.22.2 k…
- Isaac is making cornbread. The recipe he's using makes enough cornbread for 666 people and uses half a cup of sugar. If he wants to make enough cornbread for only him and his si…
- If Kev were to complete his half entirely on his own, how long would he have taken?
- Liz is making some screen prints. It takes her 202020 minutes to make 141414 prints. If Liz plans on making 505050 prints, around how much time should she plan on screen printing?
- On the same map, Carla's current location is 212121 centimeters away from the park exit. How far away is Carla from the park exit in real life?
- A certain short bread recipe that serves 484848 calls for 444 sticks of butter. Dan modifies the recipe to serve 101010 people. How much butter does he need?
- Kira is making lemonade. For every 333333 ounces of lemonade, she uses 141414 ounces of fresh lemon juice, 171717 ounces of water and 222 ounces of a condensed sweetener. If Kir…
- It takes about 3 minutes to serve a customer at a local ice-cream shop. During its opening hours in peak season, this ice-cream shop gets about 60 customers every hour. How many…
- Martha is screen printing some calendars for a zine fest she is participating at. Each calendar has 12 pages. It takes Martha 2 minutes to print one page. If she wants to make 1…
- Who should leave earlier when heading over to the coffee shop? By how much?
- Janet and David are making some subs for a catering order this morning. In total, they have to make 656565 subs. Janet makes 202020 subs each hour. It takes 555 minutes for Davi…
- If they work together at maximum efficiency, how many apples do they leave the orchard with at the end of the day?
- Rachel needs to get some exercise. She has enough energy to either jump up and down for 10 minutes or do push ups for 5 minutes. Suppose Rachel spends 3 minutes doing push ups a…