Math word problems worksheet for practicing real-world calculations.

Here is the solution to each word problem, with a clear explanation for each step.

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1) You can buy 8 apples at the Quick Market for $1.45. You can buy 6 of the same apples at Stop and Save for $1.22. Which place is the better buy?

To find the better buy, calculate the price per apple at each store.

- Quick Market:
$1.45 ÷ 8 = $0.18125 ≈ $0.18 per apple

- Stop and Save:
$1.22 ÷ 6 ≈ $0.20333 ≈ $0.20 per apple

✔ Answer: Quick Market is the better buy (cheaper per apple).

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2) Mary ran the 5-kilometer race in 45 minutes. Melanie ran the 2-kilometer race in 17 minutes. Which runner ran the faster race? What was that rate per hour?

We need to find speed in kilometers per hour for each runner.

First, convert minutes to hours:
- 45 minutes = 45/60 = 0.75 hours
- 17 minutes = 17/60 ≈ 0.2833 hours

Now calculate speed (distance ÷ time):

- Mary: 5 km ÷ 0.75 hr = 6.666... km/hr ≈ 6.7 km/hr
- Melanie: 2 km ÷ (17/60) hr = 2 × (60/17) ≈ 120/17 ≈ 7.0588 km/hr ≈ 7.1 km/hr

✔ Answer: Melanie ran the faster race at approximately 7.1 km/hr.

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3) A ferris wheel can accommodate 54 people in 24 minutes. How many people could ride the ferris wheel in 2 hours? What was that rate per hour?

First, convert 2 hours to minutes:
2 hours = 120 minutes

Find how many 24-minute intervals are in 120 minutes:
120 ÷ 24 = 5 intervals

Each interval carries 54 people, so total people = 54 × 5 = 270 people

Rate per hour: Since 2 hours = 270 people, then per hour = 270 ÷ 2 = 135 people per hour

✔ Answer: 270 people could ride in 2 hours. Rate = 135 people per hour.

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4) You can buy 9 cans for green beans at the Village Market for $4.12. You can buy 7 of the same green beans at Sam’s Club for $4.22. Which place is the better buy?

Calculate price per can:

- Village Market: $4.12 ÷ 9 ≈ $0.45777 ≈ $0.46 per can
- Sam’s Club: $4.22 ÷ 7 ≈ $0.60285 ≈ $0.60 per can

✔ Answer: Village Market is the better buy (cheaper per can).

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5) The bakers at Healthy Bakery can make 290 bagels in 2 hours. How many bagels can they bake in 11 hours? What was that rate per hour?

First, find rate per hour:
290 bagels ÷ 2 hours = 145 bagels per hour

Now, for 11 hours:
145 × 11 = 1,595 bagels

✔ Answer: They can bake 1,595 bagels in 11 hours. Rate = 145 bagels per hour.

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6) Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 535 miles on 21 gallons of gas. How far could you drive on 51 gallons of gas? What is the car’s gas mileage?

First, find gas mileage (miles per gallon):
535 miles ÷ 21 gallons ≈ 25.476 miles/gallon ≈ 25.5 mpg

Now, for 51 gallons:
25.476 × 51 ≈ 1,299.276 miles ≈ 1,299 miles

✔ Answer: You could drive about 1,299 miles on 51 gallons. Gas mileage ≈ 25.5 mpg.

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7) A jet travels 548 miles in 4 hours. At this rate, how far could the jet fly in 13 hours? What is the rate of speed of the jet?

First, find speed (rate):
548 miles ÷ 4 hours = 137 miles per hour

Now, distance in 13 hours:
137 × 13 = 1,781 miles

✔ Answer: The jet could fly 1,781 miles in 13 hours. Speed = 137 mph.

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8) An ice cream store makes 280 quarts of ice cream in 5 hours. How many quarts could be made in 48 hours? What was that rate per day?

First, find rate per hour:
280 quarts ÷ 5 hours = 56 quarts per hour

Now, for 48 hours:
56 × 48 = 2,688 quarts

Rate per day: Since 48 hours = 2 days,
2,688 quarts ÷ 2 = 1,344 quarts per day

Alternatively, if “per day” means per 24-hour day:
56 quarts/hour × 24 hours = 1,344 quarts per day

✔ Answer: 2,688 quarts could be made in 48 hours. Rate = 1,344 quarts per day.

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✔ Final Answers Summary:

1. Quick Market (better buy)
2. Melanie, 7.1 km/hr
3. 270 people, 135 per hour
4. Village Market (better buy)
5. 1,595 bagels, 145 per hour
6. 1,299 miles, 25.5 mpg
7. 1,781 miles, 137 mph
8. 2,688 quarts, 1,344 per day

All answers rounded to the nearest ones as instructed.