Here's the step-by-step solution to each word problem on the worksheet:
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1) Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed?
>
Formula: Average Speed = Distance ÷ Time
> → 204 miles ÷ 3 hours =
68 miles per hour
✔ Answer: 68 mph
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2) Four gallons of gasoline cost $16.80. What is the price per gallon?
> Divide total cost by number of gallons:
> → $16.80 ÷ 4 =
$4.20 per gallon
✔ Answer: $4.20
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3) Bob has 16 red cards and 20 green cards. What is the ratio of Bob’s red cards to his green cards?
> Ratio = Red : Green = 16 : 20
> Simplify by dividing both by 4 → 4 : 5
✔ Answer: 4:5
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4) Five lemons cost $1.90. What is the cost per lemon?
> Divide total cost by number of lemons:
> → $1.90 ÷ 5 =
$0.38 per lemon
✔ Answer: $0.38
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5) The ratio of boys to girls in a class is 2:3. If there are 20 boys in the class, how many girls are in the class?
> Set up proportion:
> Boys : Girls = 2 : 3 = 20 : x
> → 2/3 = 20/x
> Cross-multiply: 2x = 60 → x = 30
✔ Answer: 30 girls
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6) 6:7 = 36:42. True OR False?
> Check if ratios are equivalent:
> 6/7 = ? 36/42
> Simplify 36/42 → divide numerator and denominator by 6 → 6/7
> So yes, they are equal.
✔ Answer: True
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7) 4:3 and 25:45 are equal ratios. True OR False?
> Simplify 25:45 → divide by 5 → 5:9
> Compare to 4:3 → 4/3 vs 5/9 → Not equal.
✔ Answer: False
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8) 8 plates cost 48 dollars. How much do 20 plates cost?
> First, find cost per plate:
> → $48 ÷ 8 = $6 per plate
> Then, multiply by 20:
> → $6 × 20 =
$120
✔ Answer: $120
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9) In a small business, 40 of the employees are men and 30 of the employees are women. What is ratio of men to women?
> Men : Women = 40 : 30
> Simplify by dividing both by 10 →
4:3
✔ Answer: 4:3
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✔ Final Answers Summary:
1) 68 mph
2) $4.20
3) 4:5
4) $0.38
5) 30 girls
6) True
7) False
8) $120
9) 4:3
Let me know if you’d like these explained further or turned into a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of ratio and rate problems worksheet.
