Let's solve each word problem step by step and explain the reasoning. We'll round answers to the nearest whole number as instructed.
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1) Apples at Quick Market vs. Stop and Save
-
Quick Market: 8 apples for $1.45
→ Price per apple = $1.45 ÷ 8 =
$0.18125 per apple
-
Stop and Save: 6 apples for $1.22
→ Price per apple = $1.22 ÷ 6 =
$0.20333... per apple
Compare:
$0.181 < $0.203 →
Quick Market is cheaper.
✔ Answer:
Quick Market is the better buy.
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2) Mary vs. Melanie – Who ran faster?
-
Mary: 5 km in 45 minutes
→ Speed = 5 km / 45 min = 0.111... km/min
→ In hours: 45 min = 0.75 hr
→ Rate = 5 km / 0.75 hr =
6.67 km/h
-
Melanie: 2 km in 17 minutes
→ 17 min = 17/60 ≈ 0.2833 hr
→ Rate = 2 / 0.2833 ≈
7.06 km/h
Compare: 7.06 > 6.67 →
Melanie ran faster.
✔ Answer:
Melanie ran the faster race. Her rate was
7 km/h (rounded to nearest one).
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3) Ferris Wheel Capacity
- 54 people in 24 minutes
→ First, find rate per minute: 54 ÷ 24 = 2.25 people per minute
→ In 2 hours = 120 minutes
→ Total people = 2.25 × 120 =
270 people
Rate per hour:
→ In 60 minutes: 2.25 × 60 =
135 people per hour
✔ Answer:
270 people could ride in 2 hours. Rate:
135 per hour.
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4) Green Beans – Village Market vs. Sam’s Club
-
Village Market: 9 cans for $4.12
→ Price per can = $4.12 ÷ 9 ≈ $0.4578
-
Sam’s Club: 7 cans for $4.22
→ Price per can = $4.22 ÷ 7 ≈ $0.6029
Compare: $0.4578 < $0.6029 →
Village Market is cheaper.
✔ Answer:
Village Market is the better buy.
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5) Bagel Production
- 290 bagels in 2 hours
→ Rate per hour = 290 ÷ 2 =
145 bagels/hour
In 11 hours: 145 × 11 =
1595 bagels
✔ Answer:
1595 bagels in 11 hours. Rate:
145 per hour.
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6) Gas Mileage
- 535 miles on 21 gallons
→ Mileage = 535 ÷ 21 ≈
25.476 miles per gallon → Round to
25 mpg
On 51 gallons: 25 × 51 =
1275 miles
✔ Answer: You could drive
1275 miles. Gas mileage:
25 miles per gallon.
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7) Jet Travel
- 548 miles in 4 hours
→ Speed = 548 ÷ 4 =
137 mph
In 13 hours: 137 × 13 =
1781 miles
✔ Answer: The jet could fly
1781 miles in 13 hours. Rate:
137 mph.
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8) Ice Cream Production
- 280 quarts in 5 hours
→ Rate per hour = 280 ÷ 5 = 56 quarts/hour
In 48 hours: 56 × 48 =
2688 quarts
Rate per day (assuming 24 hours): 56 × 24 =
1344 quarts per day
✔ Answer:
2688 quarts in 48 hours. Rate:
1344 quarts per day.
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✔ Final Answers:
1.
Quick Market
2.
Melanie,
7 km/h
3.
270 people,
135 per hour
4.
Village Market
5.
1595 bagels,
145 per hour
6.
1275 miles,
25 mpg
7.
1781 miles,
137 mph
8.
2688 quarts,
1344 per day
All answers are rounded to the nearest whole number as required.
Parent Tip: Review the logic above to help your child master the concept of unit rates worksheet 7th grade.
