Let’s go step by step through each problem to find the
ratio and the
unit rate.
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What is a ratio?
A ratio compares two quantities. We write it as “a:b” or “a to b”.
What is a unit rate?
A unit rate tells you how much of one thing there is
per 1 of another thing. For example: miles per hour, dollars per item, students per class.
To get the unit rate, divide the first number by the second number.
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We’ll solve each problem:
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Ex) 14 copies in 2 minutes
→ Ratio: 14:2
→ Unit rate: 14 ÷ 2 =
7 copies per minute
✔ Matches answer key.
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1) 10 hours to drive 710 miles
→ Ratio: 710:10 (miles to hours — since we want miles per hour)
Wait — actually, the problem says “10 hours to drive 710 miles”, so we’re comparing
miles : hours → 710:10
→ Unit rate: 710 ÷ 10 =
71 miles per hour
✔ Correct.
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2) 3 boxes can hold 12 books
→ Books per box → 12:3
→ Unit rate: 12 ÷ 3 =
4 books per box
✔ Correct.
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3) 111 dollars for 37 TV channels
→ Dollars per channel → 111:37
→ Unit rate: 111 ÷ 37 =
3 dollars per channel
✔ Correct.
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4) 48 customers over 2 days
→ Customers per day → 48:2
→ Unit rate: 48 ÷ 2 =
24 customers per day
✔ Correct.
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5) 8 classrooms with 136 students
→ Students per class → 136:8
→ Unit rate: 136 ÷ 8 =
17 students per class
✔ Correct.
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6) 174 cherry pieces in 6 bags of candy
→ Pieces per bag → 174:6
→ Unit rate: 174 ÷ 6 =
29 pieces per bag
✔ Correct.
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7) 54 dollars for mowing 2 lawns
→ Dollars per lawn → 54:2
→ Unit rate: 54 ÷ 2 =
27 dollars per lawn
✔ Correct.
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8) 2 mail trucks had 26 bags of letters
→ Bags per truck → 26:2
→ Unit rate: 26 ÷ 2 =
13 bags per truck
✔ Correct.
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9) 265 points for defeating 53 enemies
→ Points per enemy → 265:53
→ Unit rate: 265 ÷ 53 =
5 points per enemy
✔ Correct.
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10) 3 movie tickets cost $42
→ Dollars per ticket → 42:3
→ Unit rate: 42 3 =
14 dollars per ticket
✔ Correct.
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11) 52 pints of juice in 4 containers
→ Pints per container → 52:4
→ Unit rate: 52 ÷ 4 =
13 pints per container
✔ Correct.
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12) 4 students earned 56 dollars total
→ Dollars per student → 56:4
→ Unit rate: 56 ÷ 4 =
14 dollars per student
✔ Correct.
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13) 35 customers in 5 checkout lanes
→ Customers per lane → 35:5
→ Unit rate: 35 5 =
7 customers per lane
✔ Correct.
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14) 4 cell phone covers for 28 dollars
→ Dollars per cover → 28:4
→ Unit rate: 28 ÷ 4 =
7 dollars per cover
✔ Correct.
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15) 4 trays with 40 ice cubes
→ Ice cubes per tray → 40:4
→ Unit rate: 40 ÷ 4 =
10 ice cubes per tray
✔ Correct.
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All answers match the provided answer key. The work is accurate.
Final Answer:
All problems are correctly solved as shown in the answer key. Ratios and unit rates are calculated properly by dividing the total amount by the number of units to get “per 1” value.
Parent Tip: Review the logic above to help your child master the concept of ratio and rate problems worksheet.
