Let’s go through each problem one by one. We’re finding
ratios (like “75 to 5”) and
unit rates (like “pints per container” — which means divide the first number by the second).
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1) 75 pints of juice in 5 containers
→ Ratio: 75 : 5
→ Unit rate: 75 ÷ 5 =
15 pints per container
2) 40 centimeters of snow in 20 hours
→ Ratio: 40 : 20
→ Unit rate: 40 ÷ 20 =
2 centimeters per hour
3) 32 customers in 4 checkout lanes
→ Ratio: 32 : 4
→ Unit rate: 32 ÷ 4 =
8 customers per lane
4) 216 cherry pieces in 6 bags of candy
→ Ratio: 216 : 6
→ Unit rate: 216 ÷ 6 =
36 pieces per bag
5) 120 dollars for mowing 4 lawns
→ Ratio: 120 : 4
→ Unit rate: 120 ÷ 4 =
30 dollars per lawn
6) 92 dollars for 46 TV channels
→ Ratio: 92 : 46
→ Unit rate: 92 ÷ 46 =
2 dollars per channel
7) 488 points for defeating 61 enemies
→ Ratio: 488 : 61
→ Unit rate: 488 ÷ 61 =
8 points per enemy
8) 70 copies in 7 minutes
→ Ratio: 70 : 7
→ Unit rate: 70 ÷ 7 =
10 copies per minute
9) 96 customers over 3 days
→ Ratio: 96 : 3
→ Unit rate: 96 ÷ 3 =
32 customers per day
10) 12 pies eaten in 3 minutes
→ Ratio: 12 : 3
→ Unit rate: 12 ÷ 3 =
4 pies per minute
11) 7 bags with 490 cans
→ Ratio: 490 : 7 (since it’s cans per bag)
→ Unit rate: 490 ÷ 7 =
70 cans per bag
12) 4 minutes to type 408 words
→ Ratio: 408 : 4 (words per minute)
→ Unit rate: 408 ÷ 4 =
102 words per minute
13) 10 hours to drive 660 miles
→ Ratio: 660 : 10 (miles per hour)
→ Unit rate: 660 ÷ 10 =
66 miles per hour
14) 6 trays with 30 ice cubes
→ Ratio: 30 : 6 (ice cubes per tray)
→ Unit rate: 30 ÷ 6 =
5 ice cubes per tray
15) 10 CDs with 90 songs
→ Ratio: 90 : 10 (songs per CD)
→ Unit rate: 90 ÷ 10 =
9 songs per CD
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Final Answer:
1) 75:5, 15
2) 40:20, 2
3) 32:4, 8
4) 216:6, 36
5) 120:4, 30
6) 92:46, 2
7) 488:61, 8
8) 70:7, 10
9) 96:3, 32
10) 12:3, 4
11) 490:7, 70
12) 408:4, 102
13) 660:10, 66
14) 30:6, 5
15) 90:10, 9
Parent Tip: Review the logic above to help your child master the concept of rate and ratio worksheet.
