Here’s the step-by-step solution to each of the 8 ratio and proportion word problems:
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① 8 plates cost $48. How much do 20 plates cost?
→ First, find the cost per plate:
$48 ÷ 8 = $6 per plate
→ Then, multiply by 20:
$6 × 20 =
$120
✔ Answer: $120
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② 50 guavas cost $25. How much would 75 guavas cost?
→ Cost per guava:
$25 ÷ 50 = $0.50 per guava
→ Cost for 75 guavas:
$0.50 × 75 =
$37.50
✔ Answer: $37.50
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③ Jacob can wash 3 cars in 45 minutes. How many cars can he wash in 5 hours?
→ Convert 5 hours to minutes:
5 × 60 = 300 minutes
→ Find rate: 3 cars / 45 min = 1 car / 15 min
→ Number of cars in 300 min:
300 ÷ 15 =
20 cars
✔ Answer: 20 cars
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④ One jar of ginger costs $4. How many jars can you buy for $8?
→ $8 ÷ $4 =
2 jars
✔ Answer: 2 jars
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⑤ 6 pastries cost $30. What will 4 pastries cost?
→ Cost per pastry:
$30 ÷ 6 = $5 per pastry
→ Cost for 4 pastries:
$5 × 4 =
$20
✔ Answer: $20
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⑥ Dylan bought 6 pastries for $30. What is the cost of 2 pastries?
→ Same as above: $30 ÷ 6 = $5 per pastry
→ 2 × $5 =
$10
✔ Answer: $10
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⑦ If 24 loaves of bread cost $48.00, how much would 10 loaves of bread cost?
→ Cost per loaf:
$48 ÷ 24 = $2 per loaf
→ Cost for 10 loaves:
$2 × 10 =
$20
✔ Answer: $20
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⑧ 8 balls cost 16 dollars. How much do 32 balls cost?
→ Cost per ball:
$16 ÷ 8 = $2 per ball
→ Cost for 32 balls:
$2 × 32 =
$64
✔ Answer: $64
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✔ Final Answers Summary:
1.
$120
2.
$37.50
3.
20 cars
4.
2 jars
5.
$20
6.
$10
7.
$20
8.
$64
These problems all use
unit rate (cost or quantity per single item) to solve proportional relationships — a key concept in ratios and proportions!
Parent Tip: Review the logic above to help your child master the concept of ratio and proportion worksheet pdf.
