Grade 5 Word Problems | Free Printables | Worksheets - Free Printable
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Step-by-step solution for: Grade 5 Word Problems | Free Printables | Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Word Problems | Free Printables | Worksheets
Let's solve each word problem step by step and explain the solution.
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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:
- Total cars Johnson wants to make: 1,500
- Cars already made: 492
- Remaining cars to make:
$ 1,500 - 492 = 1,008 $
- Cars made per day: 18
- Days needed:
$ \frac{1,008}{18} = 56 $
✔ Answer: It will take Johnson 56 days to make 1,500 cars.
---
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:
- Number of people: Bill + 3 friends = 4 people
- Books read per person: 55
- Total books read by all:
$ 4 \times 55 = 220 $ books
- Pages per book: 320
- Total pages read:
$ 220 \times 320 = 70,400 $
✔ Answer: They read 70,400 pages in total.
---
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:
- Total cookies made: 190
- Cookies saved for parents: 22
- Cookies for the party:
$ 190 - 22 = 168 $
- People at the party: Mary + 14 friends = 15 people
- Cookies per person:
$ \frac{168}{15} = 11.2 $
But since you can't split cookies into decimals in this context (unless specified), we assume whole cookies. So:
- $ 15 \times 11 = 165 $ → 3 cookies left over
- Or if we allow fractional sharing: 11.2 cookies per person
But likely, the expected answer is 11 cookies per person, with 3 left over.
However, let’s check:
$ 168 ÷ 15 = 11.2 $
So unless stated otherwise, we write:
✔ Answer: Each person gets 11.2 cookies (or 11 full cookies, with 3 extra).
But in most grade-level problems like this, they expect exact division. Let's double-check if it divides evenly.
Wait — $ 168 ÷ 15 = 11.2 $ → not a whole number.
So the exact answer is 11.2, but since it's a real-life situation, perhaps it's acceptable.
✔ Answer: Each person gets 11.2 cookies.
Alternatively, if only whole cookies are allowed, then 11 cookies each, with 3 leftover.
But since the question says "how many cookies will each person get", and doesn’t specify whole cookies, we go with the exact value.
✔ Final Answer: 11.2 cookies per person
---
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:
- Total cards: 624
- Number of friends: 12
- Cards per friend:
$ \frac{624}{12} = 52 $
✔ Answer: Each friend receives 52 cards.
---
1. 56 days
2. 70,400 pages
3. 11.2 cookies per person
4. 52 cards each
Let me know if you'd like these formatted neatly or explained further!
---
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:
- Total cars Johnson wants to make: 1,500
- Cars already made: 492
- Remaining cars to make:
$ 1,500 - 492 = 1,008 $
- Cars made per day: 18
- Days needed:
$ \frac{1,008}{18} = 56 $
✔ Answer: It will take Johnson 56 days to make 1,500 cars.
---
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:
- Number of people: Bill + 3 friends = 4 people
- Books read per person: 55
- Total books read by all:
$ 4 \times 55 = 220 $ books
- Pages per book: 320
- Total pages read:
$ 220 \times 320 = 70,400 $
✔ 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:
- Total cookies made: 190
- Cookies saved for parents: 22
- Cookies for the party:
$ 190 - 22 = 168 $
- People at the party: Mary + 14 friends = 15 people
- Cookies per person:
$ \frac{168}{15} = 11.2 $
But since you can't split cookies into decimals in this context (unless specified), we assume whole cookies. So:
- $ 15 \times 11 = 165 $ → 3 cookies left over
- Or if we allow fractional sharing: 11.2 cookies per person
But likely, the expected answer is 11 cookies per person, with 3 left over.
However, let’s check:
$ 168 ÷ 15 = 11.2 $
So unless stated otherwise, we write:
✔ Answer: Each person gets 11.2 cookies (or 11 full cookies, with 3 extra).
But in most grade-level problems like this, they expect exact division. Let's double-check if it divides evenly.
Wait — $ 168 ÷ 15 = 11.2 $ → not a whole number.
So the exact answer is 11.2, but since it's a real-life situation, perhaps it's acceptable.
✔ Answer: Each person gets 11.2 cookies.
Alternatively, if only whole cookies are allowed, then 11 cookies each, with 3 leftover.
But since the question says "how many cookies will each person get", and doesn’t specify whole cookies, we go with the exact value.
✔ Final Answer: 11.2 cookies per person
---
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:
- Total cards: 624
- Number of friends: 12
- Cards per friend:
$ \frac{624}{12} = 52 $
✔ Answer: Each friend receives 52 cards.
---
✔ Final Answers:
1. 56 days
2. 70,400 pages
3. 11.2 cookies per person
4. 52 cards each
Let me know if you'd like these formatted neatly or explained further!
Parent Tip: Review the logic above to help your child master the concept of 5th grade math word problems.