Let’s solve each problem one by one, step by step.
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Problem 1:
A classroom had 35 glue sticks. The ratio of glue sticks to glue bottles was 5 : 2. How many glue bottles did the classroom have?
→ Ratio 5:2 means for every 5 glue sticks, there are 2 glue bottles.
→ We have 35 glue sticks. Let’s see how many “groups” of 5 that is:
35 ÷ 5 = 7 groups
→ Each group has 2 glue bottles → 7 × 2 =
14 glue bottles
✔ Final Answer:
14
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Problem 2:
A student finished 8 homework problems. The ratio of problems she finished to problems left is 4 : 1. How many total problems did she have?
→ Finished : Left = 4 : 1
→ She finished 8 problems → that’s 4 parts → so 1 part = 8 ÷ 4 = 2
→ Problems left = 1 part = 2
→ Total = finished + left = 8 + 2 =
10
✔ Final Answer:
10
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Problem 3:
Library checked out 52 books. 24 were fiction. What is the ratio of non-fiction to fiction?
→ Non-fiction = 52 - 24 = 28
→ Ratio non-fiction : fiction = 28 : 24
→ Simplify: divide both by 4 → 7 : 6
✔ Final Answer:
7:6
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Problem 4:
Recipe calls for sugar to flour ratio 10 : 3. Used 70 ounces of sugar. How much flour?
→ Sugar : Flour = 10 : 3
→ 10 parts = 70 oz → 1 part = 70 ÷ 10 = 7 oz
→ Flour = 3 parts → 3 × 7 =
21 ounces
✔ Final Answer:
21
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Problem 5:
72 raisin cookies sold. Ratio raisin : oatmeal = 9 : 1. Combined amount?
→ Raisin = 9 parts = 72 → 1 part = 72 ÷ 9 = 8
→ Oatmeal = 1 part = 8
→ Combined = 72 + 8 =
80
✔ Final Answer:
80
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Problem 6:
Kaleb had 136 songs. Deleted 56. What is ratio of kept to deleted?
→ Kept = 136 - 56 = 80
→ Deleted = 56
→ Ratio kept : deleted = 80 : 56
→ Simplify: divide both by 8 → 10 : 7
✔ Final Answer:
10:7
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Problem 7:
Ratio red cars : blue cars = 5 : 3. There were 40 red cars. How many blue?
→ Red = 5 parts = 40 → 1 part = 40 ÷ 5 = 8
→ Blue = 3 parts → 3 × 8 =
24
✔ Final Answer:
24
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Problem 8:
Sold 63 red apples. Ratio red : green = 7 : 2. Combined amount?
→ Red = 7 parts = 63 → 1 part = 63 ÷ 7 = 9
→ Green = 2 parts → 2 × 9 = 18
→ Combined = 63 + 18 =
81
✔ Final Answer:
81
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Problem 9:
Total problems = 15. Finished 6 in class. Ratio of remaining to finished?
→ Remaining = 15 - 6 = 9
→ Ratio remaining : finished = 9 : 6
→ Simplify: divide by 3 → 3 : 2
✔ Final Answer:
3:2
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Problem 10:
Cows : horses = 9 : 2. 72 cows. How many horses?
→ Cows = 9 parts = 72 → 1 part = 72 ÷ 9 = 8
→ Horses = 2 parts → 2 × 8 =
16
✔ Final Answer:
16
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Final Answer:
1. 14
2. 10
3. 7:6
4. 21
5. 80
6. 10:7
7. 24
8. 81
9. 3:2
10. 16
Parent Tip: Review the logic above to help your child master the concept of ratio problems worksheet.
