Let's solve each word problem step by step and explain the solution clearly.
---
Problem 1:
Johnson makes toy cars. He wants to make 1,500. Johnson can make 18 cars a day. He has already made 492. How many days will it take him to get to 1,500?
####
Step-by-step Solution:
1. First, find how many more cars Johnson needs to make:
$$
1500 - 492 = 1008 \text{ cars}
$$
2. He makes 18 cars per day, so divide the remaining cars by the number he makes per day:
$$
1008 ÷ 18 = 56 \text{ days}
$$
✔ Answer: It will take
56 days.
---
Problem 2:
Bill and his 3 friends read 55 books each for the year. Each book had an average of 320 pages. How many pages did they all read in total that year?
####
Step-by-step Solution:
1. Total people reading = Bill + 3 friends = 4 people
2. Each person read 55 books, so total books read:
$$
4 × 55 = 220 \text{ books}
$$
3. Each book has 320 pages, so total pages:
$$
220 × 320 = 70,400 \text{ pages}
$$
✔ Answer: They read
70,400 pages in total.
---
Problem 3:
Mary is having a birthday party. She invited 14 friends. Mary made 190 cookies. She wants to share them at her party but also wants to save 22 for her mother and father. How many cookies will each person get at the party?
####
Step-by-step Solution:
1. Subtract the 22 cookies she wants to save:
$$
190 - 22 = 168 \text{ cookies for the party}
$$
2. Number of people at the party: Mary + 14 friends = 15 people
3. Divide the cookies equally:
$$
168 ÷ 15 = 11.2
$$
But since we’re dealing with whole cookies, let’s check:
- 15 × 11 = 165 → leaves 3 extra cookies
- So, each person gets
11 cookies, and there are
3 left over.
But the question asks: "How many cookies will each person get?" — assuming equal sharing.
So,
each person gets 11 cookies, and 3 remain (not distributed evenly).
However, if we assume fractional cookies are allowed, then:
$$
168 ÷ 15 = 11.2 \text{ cookies per person}
$$
But since cookies are typically whole, likely answer is
11 cookies per person with some leftover.
✔ Answer: Each person gets
11 cookies (with 3 left over).
> Note: If the problem allows splitting cookies, then
11.2 would be acceptable. But in most contexts, especially grade 5, we say
11 cookies each.
---
Problem 4:
Eli was giving away his baseball cards. He had 624 cards to give away and 12 friends to give them to. How many cards would each friend receive?
####
Step-by-step Solution:
Divide total cards by number of friends:
$$
624 ÷ 12 = 52
$$
✔ Answer: Each friend receives
52 cards.
---
✔ Final Answers:
1.
56 days
2.
70,400 pages
3.
11 cookies each (or 11.2 if fractions allowed)
4.
52 cards each
Let me know if you'd like these written neatly for printing or explanation!
Parent Tip: Review the logic above to help your child master the concept of fifth grade word problems worksheet.
