Ratios
Rates
Unit Rates
Proportional Reasoning
Word Problems Galore!
100

A recipe calls for 2 cups of sugar for every 3 cups of flour. If you use 9 cups of flour, how many cups of sugar do you need?

6 cups of sugar

100

A car travels 180 miles in 3 hours. What is the rate in miles per hour?

60 miles per hour

100

If a baker uses 5.25 pounds of flour to make 7 dozen cookies, how much flour is used per dozen cookies?

0.75 pounds per dozen

100

A map uses a scale of 1 inch = 18 miles. If two cities are 3.5 inches apart on the map, how far apart are they in real life?

63 miles

100

A plumber charges $75 for the first hour and $40 for each additional hour. If a job took 3.5 hours, what was the total charge?

$175

200

The ratio of cats to dogs at a shelter is 5:8. If there are 40 dogs, how many cats are there?

25 cats

200

A factory produces 300 toys in 5 hours. At that rate, how many toys are produced in 8 hours?

480 toys

200

A grocery store sells 5 pounds of apples for $7.50. What is the unit rate per pound

$1.50 per pound

200

A recipe that serves 8 uses 3.5 cups of flour and 2.25 cups of sugar. How much of each is needed to serve 20 people?

8.75 cups flour, 5.625 cups sugar

200

A student bought 3 pens and 2 folders for $8. If each pen costs $1.25, what’s the price of one folder?

$2.00 per folder

300

A team of athletes includes sprinters, hurdlers, and jumpers in the ratio 4:5:3. If there are 48 athletes in total, how many are hurdlers?

20 hurdlers

300

A printing press prints 1200 pages in 20 minutes. How many pages can it print in 1 hour and 15 minutes?

4500 pages

300

A farmer harvests 360 apples in 4.5 hours. How many apples does he harvest per minute?

1.33 apples per minute

300

A car travels 150 miles in 2.5 hours. How long will it take to travel 270 miles at the same rate?

4.5 hours

300

A store sells 4 pounds of bananas for $3.20. How much would 7.5 pounds cost?

$6.00

400

A drink is made by mixing water, juice, and syrup in a ratio of 5:2:1. If the drink contains 36 liters, how much syrup is used?

6 liters

400

A faucet leaks 2 gallons every 5 hours. How much water will it leak in 20 hours?

8 gallons

400

A machine produces 2.5 parts every 0.75 minutes. What is the unit rate in parts per hour?

200 parts per hour

400

A blueprint uses a scale of 1 inch = 6 feet. If a wall is 3.5 inches on the blueprint, how long is it in real life?

21 feet

400

A delivery driver earns $15 per hour and $0.50 per mile. If she drives 40 miles in 3 hours, what is her total pay?

$60

500

A bag contains red, green, and blue beads in a 2:3:4 ratio. If there are 72 more blue beads than red ones, how many green beads are there?

108 green beads

500

A store sells 3 pens and 2 notebooks for $8.50. If pens cost $1.50 each, what is the cost of one notebook?

$2.50 per notebook

500

A 1.2-liter bottle of soda costs $1.44. What is the cost per milliliter?

$0.0012 per mL

500

A store sells 6 notebooks for $9.60 and 10 pencils for $4.50. What is the cost per notebook to pencil in simplified ratio form?

$1.60 : $0.45 → Simplified ratio is 32:9

500

A landscaper uses 12 bags of mulch to cover 144 square feet. If each bag costs $5.25, how much does it cost to cover 300 square feet?

$131.25