Let's solve each problem step by step. We are asked to
express each phrase as a rate and a unit rate, rounding the unit rate to the nearest hundredth.
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🔹 Definitions:
-
Rate: A comparison of two quantities with different units (e.g., dollars per can).
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Unit Rate: A rate where the second quantity is 1 (e.g., dollars per 1 can).
We will write:
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Rate = total amount / total units
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Unit Rate = (total amount / total units) → then divide to get per 1 unit
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✔ Problem 1: 6 dollars for 2 cans of tuna
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Rate: $6 / 2 cans =
$6/2 cans
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Unit Rate: $6 ÷ 2 =
$3.00 per can
>
✔ Rate: $6/2 cans
>
✔ Unit Rate: $3.00 per can
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✔ Problem 2: 13 chocolate bars cost 21 dollars
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Rate: $21 / 13 bars
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Unit Rate: $21 ÷ 13 ≈
$1.615 → rounded to
$1.62 per bar
>
✔ Rate: $21/13 bars
>
✔ Unit Rate: $1.62 per bar
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✔ Problem 3: 13 dollars for 4 books
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Rate: $13 / 4 books
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Unit Rate: $13 ÷ 4 =
$3.25 per book
>
✔ Rate: $13/4 books
>
✔ Unit Rate: $3.25 per book
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✔ Problem 4: mowed 5 yards for $35.00
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Rate: $35 / 5 yards
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Unit Rate: $35 ÷ 5 =
$7.00 per yard
>
✔ Rate: $35/5 yards
>
✔ Unit Rate: $7.00 per yard
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✔ Problem 5: 145 miles on 9 gallons of gas
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Rate: 145 miles / 9 gallons
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Unit Rate: 145 ÷ 9 ≈
16.111... →
16.11 miles per gallon
>
✔ Rate: 145 miles / 9 gallons
>
✔ Unit Rate: 16.11 miles per gallon
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✔ Problem 6: 12 batteries cost 20 dollars
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Rate: $20 / 12 batteries
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Unit Rate: $20 ÷ 12 ≈
1.666... →
$1.67 per battery
>
✔ Rate: $20/12 batteries
>
✔ Unit Rate: $1.67 per battery
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✔ Problem 7: 7 calculators cost $190.00
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Rate: $190 / 7 calculators
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Unit Rate: $190 ÷ 7 ≈
27.142... →
$27.14 per calculator
>
✔ Rate: $190/7 calculators
>
✔ Unit Rate: $27.14 per calculator
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✔ Problem 8: 7 inches of snow in 6 hours
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Rate: 7 inches / 6 hours
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Unit Rate: 7 ÷ 6 ≈
1.166... →
1.17 inches per hour
>
✔ Rate: 7 inches / 6 hours
>
✔ Unit Rate: 1.17 inches per hour
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✔ Problem 9: 7 movie tickets cost $26.00
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Rate: $26 / 7 tickets
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Unit Rate: $26 ÷ 7 ≈
3.714... →
$3.71 per ticket
>
✔ Rate: $26/7 tickets
>
✔ Unit Rate: $3.71 per ticket
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✔ Problem 10: 8 pencils for 14 dollars
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Rate: $14 / 8 pencils
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Unit Rate: $14 ÷ 8 =
$1.75 per pencil
>
✔ Rate: $14/8 pencils
>
✔ Unit Rate: $1.75 per pencil
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✔ Final Answers Table:
| # | Rate | Unit Rate |
|---|-----------------------------|--------------------------|
| 1 | $6/2 cans | $3.00 per can |
| 2 | $21/13 bars | $1.62 per bar |
| 3 | $13/4 books | $3.25 per book |
| 4 | $35/5 yards | $7.00 per yard |
| 5 | 145 miles / 9 gallons | 16.11 miles per gallon |
| 6 | $20/12 batteries | $1.67 per battery |
| 7 | $190/7 calculators | $27.14 per calculator |
| 8 | 7 inches / 6 hours | 1.17 inches per hour |
| 9 | $26/7 tickets | $3.71 per ticket |
|10 | $14/8 pencils | $1.75 per pencil |
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✔ All answers are rounded to the nearest hundredth as requested.
Let me know if you'd like this formatted into a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of unit rate worksheet 7th grade.
