Let's solve each of the three word problems step by step.
---
Problem 1: Tom and Sam Running Laps
Problem:
Tom ran 4 laps of the football field. Sam ran 5 times as many laps of the football field. How many laps did Sam run?
Solution:
- Tom ran 4 laps.
- Sam ran 5 times as many as Tom:
$$
5 \times 4 = 20
$$
✔ Answer: Sam ran
20 laps.
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Problem 2: Pizza Cost
Problem:
A family size pizza is $24 and costs 3 times as much as a small pizza. Peter buys two family size pizzas and 3 small pizzas. How much does he spend in all?
Step-by-step:
1.
Find the cost of a small pizza:
Family size = 3 × Small size
$$
24 = 3 \times \text{Small}
\Rightarrow \text{Small} = \frac{24}{3} = 8
$$
So, a small pizza costs
$8.
2.
Calculate total cost:
- 2 family size pizzas:
$$
2 \times 24 = 48
$$
- 3 small pizzas:
$$
3 \times 8 = 24
$$
- Total:
$$
48 + 24 = 72
$$
✔ Answer: Peter spends
$72 in all.
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Problem 3: Black and White Kittens
Problem:
Zoe counts 4 times as many black kittens as white kittens for sale at the pet store. She counts a total of 25 kittens. How many more black kittens does Zoe count than white kittens?
Solution:
Let:
- Number of white kittens = $ x $
- Then, number of black kittens = $ 4x $
Total kittens:
$$
x + 4x = 5x = 25
\Rightarrow x = \frac{25}{5} = 5
$$
So:
- White kittens = 5
- Black kittens = $ 4 \times 5 = 20 $
Difference:
$$
20 - 5 = 15
$$
✔ Answer: Zoe counts
15 more black kittens than white kittens.
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✔ Final Answers:
1.
Sam ran 20 laps.
2.
Peter spends $72.
3.
Zoe counts 15 more black kittens than white kittens.
Parent Tip: Review the logic above to help your child master the concept of multiplicative comparison problems 4th grade worksheet.