Let’s go through each problem one by one.
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Problem 1:
A playschool has 63 boys and 27 girls. What will be the number of boys if there are 9 girls in the school?
→ First, find the ratio of boys to girls:
63 boys : 27 girls
Simplify by dividing both by 9 → 7 : 3
So for every 3 girls, there are 7 boys.
Now, if there are 9 girls, how many boys?
Since 9 ÷ 3 = 3, multiply the boy part (7) by 3 → 7 × 3 = 21
✔ Answer: 21 boys
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Problem 2:
A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine produce in 1 hour?
→ 1 hour = 60 minutes
In 2 minutes → 6 yards
So in 1 minute → 6 ÷ 2 = 3 yards
In 60 minutes → 3 × 60 = 180 yards
✔ Answer: 180 yards
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Problem 3:
12 miles are approximately equal to 19 km. How many km (approx.) are equal to 18 miles?
→ Set up a proportion:
12 miles → 19 km
18 miles → ? km
Cross-multiply:
(18 × 19) ÷ 12 = 342 ÷ 12 = 28.5
✔ Answer: 28.5 km
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Problem 4:
80 boys are attending a picnic. There is a ratio of 3:5 for the number of girls to the number of boys. How many girls are there?
→ Ratio girls : boys = 3 : 5
Boys = 80 → which represents 5 parts
So 1 part = 80 ÷ 5 = 16
Girls = 3 parts → 3 × 16 = 48
✔ Answer: 48 girls
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Problem 5 (first one):
The total weight of 15 boxes is 45 pounds. How much would 40 boxes weigh?
→ Weight per box = 45 ÷ 15 = 3 pounds
40 boxes → 40 × 3 = 120 pounds
✔ Answer: 120 pounds
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Problem 5 (second one — probably meant to be 6):
4 spoons cost $12. How much do 16 spoons cost?
→ Cost per spoon = $12 ÷ 4 = $3
16 spoons → 16 × $3 = $48
✔ Answer: $48
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Final Answer:
1. 21
2. 180 yards
3. 28.5 km
4. 48 girls
5. 120 pounds
6. $48
Parent Tip: Review the logic above to help your child master the concept of ratio and proportion worksheet with answers.
