5th Grade Math Word Problems: Free Worksheets with Answers ... - Free Printable
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Step-by-step solution for: 5th Grade Math Word Problems: Free Worksheets with Answers ...
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Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Math Word Problems: Free Worksheets with Answers ...
Let's solve each of the word problems step by step. I'll show all the work and explain the reasoning.
---
Wait! There's a problem here: The question asks about sugar, but the information given is about flour.
We are told that each batch needs 0.6 cups of flour, but there’s no mention of how much sugar is needed per batch.
This seems like a typo or missing information. Since the problem asks for sugar but only provides data about flour, we cannot solve this unless we assume that "flour" was meant to be "sugar", or if there's a mistake in the question.
But let’s suppose it's a typo and they meant flour instead of sugar — because otherwise, the problem is unsolvable.
So assuming:
> Each batch needs 0.6 cups of flour, and Caroline is making 5 batches.
Then:
$$
0.6 \text{ cups/batch} \times 5 \text{ batches} = 3.0 \text{ cups of flour}
$$
✔ So, she needs 3.0 cups of flour.
But since the question says "sugar", and we have no info about sugar, we must note:
👉 Problem 1 cannot be solved as written due to missing information about sugar.
If it's a typo and meant to say "flour", then answer is 3.0 cups.
---
We simply add the two amounts:
$$
43.19 + 55.6 = ?
$$
First, align decimals:
```
43.19
+ 55.60
-------
98.79
```
✔ Total sugar = 98.79 ounces
---
We need to convert pounds to ounces, since cookie weight is in ounces.
We know:
- 1 pound = 16 ounces
- So, 2.5 pounds = $ 2.5 \times 16 = 40 $ ounces
Now divide total weight by weight per cookie:
$$
\frac{40}{1.6} = ?
$$
Let’s calculate:
$$
\frac{40}{1.6} = \frac{400}{16} = 25
$$
✔ So, the customer will get 25 cookies
---
Calculate revenue from full pies:
$$
3 \times 17.50 = 52.50
$$
Revenue from half-pies:
$$
5 \times 9.25 = 46.25
$$
Total money made:
$$
52.50 + 46.25 = 98.75
$$
✔ Total = $98.75
---
#### A) How much would 3.5 bricks of fudge weigh?
$$
3.5 \times 33.6 = ?
$$
Break it down:
$$
3 \times 33.6 = 100.8 \\
0.5 \times 33.6 = 16.8 \\
\text{Total} = 100.8 + 16.8 = 117.6 \text{ oz}
$$
✔ So, 3.5 bricks weigh 117.6 ounces
---
#### B) If she sells all 3.5 bricks of fudge at $7.90 per brick, how much money will she make?
$$
3.5 \times 7.90 = ?
$$
Break it down:
$$
3 \times 7.90 = 23.70 \\
0.5 \times 7.90 = 3.95 \\
\text{Total} = 23.70 + 3.95 = 27.65
$$
✔ She will make $27.65
---
#### C) If she currently has 436.8 ounces of fudge in stock, how many bricks will she need to sell to get rid of all of it?
Each brick = 33.6 oz
So divide total fudge by weight per brick:
$$
\frac{436.8}{33.6} = ?
$$
Let’s compute:
Divide both numerator and denominator by 1.6 to simplify:
$$
\frac{436.8 \div 1.6}{33.6 \div 1.6} = \frac{273}{21} = 13
$$
Alternatively, do direct division:
$$
\frac{436.8}{33.6} = 13
$$
✔ So, she needs to sell 13 bricks to use up all the fudge.
---
1) Cannot be solved — missing info about sugar (unless typo, then 3.0 cups of flour)
2) 98.79 ounces of sugar
3) 25 cookies
4) $98.75
5)
A) 117.6 ounces
B) $27.65
C) 13 bricks
---
Let me know if you'd like these formatted neatly for printing or submission!
---
1) Each batch of donuts mix needs 0.6 cups of flour, and each batch can make 12 donuts. If Caroline is making 5 batches of donuts, how many cups of sugar does she need?
Wait! There's a problem here: The question asks about sugar, but the information given is about flour.
We are told that each batch needs 0.6 cups of flour, but there’s no mention of how much sugar is needed per batch.
This seems like a typo or missing information. Since the problem asks for sugar but only provides data about flour, we cannot solve this unless we assume that "flour" was meant to be "sugar", or if there's a mistake in the question.
But let’s suppose it's a typo and they meant flour instead of sugar — because otherwise, the problem is unsolvable.
So assuming:
> Each batch needs 0.6 cups of flour, and Caroline is making 5 batches.
Then:
$$
0.6 \text{ cups/batch} \times 5 \text{ batches} = 3.0 \text{ cups of flour}
$$
✔ So, she needs 3.0 cups of flour.
But since the question says "sugar", and we have no info about sugar, we must note:
👉 Problem 1 cannot be solved as written due to missing information about sugar.
If it's a typo and meant to say "flour", then answer is 3.0 cups.
---
2) Caroline has two open sacks of sugar in storage. One sack has 43.19 ounces of sugar and the other sack has 55.6 ounces of sugar. How much sugar does she have in total?
We simply add the two amounts:
$$
43.19 + 55.6 = ?
$$
First, align decimals:
```
43.19
+ 55.60
-------
98.79
```
✔ Total sugar = 98.79 ounces
---
3) Caroline makes mini sugar cookies that weigh 1.6 ounces each. A customer requests to purchase 2.5 pounds of cookies. How many cookies will the customer get?
We need to convert pounds to ounces, since cookie weight is in ounces.
We know:
- 1 pound = 16 ounces
- So, 2.5 pounds = $ 2.5 \times 16 = 40 $ ounces
Now divide total weight by weight per cookie:
$$
\frac{40}{1.6} = ?
$$
Let’s calculate:
$$
\frac{40}{1.6} = \frac{400}{16} = 25
$$
✔ So, the customer will get 25 cookies
---
4) Caroline's specialty is strawberry pie. She sells full pies for $17.50 each and half-pies for $9.25 each. If she sells three full pies and five half-pies, how much money will she make?
Calculate revenue from full pies:
$$
3 \times 17.50 = 52.50
$$
Revenue from half-pies:
$$
5 \times 9.25 = 46.25
$$
Total money made:
$$
52.50 + 46.25 = 98.75
$$
✔ Total = $98.75
---
5) Caroline sells bricks of fudge and each brick weighs 33.6 oz.
#### A) How much would 3.5 bricks of fudge weigh?
$$
3.5 \times 33.6 = ?
$$
Break it down:
$$
3 \times 33.6 = 100.8 \\
0.5 \times 33.6 = 16.8 \\
\text{Total} = 100.8 + 16.8 = 117.6 \text{ oz}
$$
✔ So, 3.5 bricks weigh 117.6 ounces
---
#### B) If she sells all 3.5 bricks of fudge at $7.90 per brick, how much money will she make?
$$
3.5 \times 7.90 = ?
$$
Break it down:
$$
3 \times 7.90 = 23.70 \\
0.5 \times 7.90 = 3.95 \\
\text{Total} = 23.70 + 3.95 = 27.65
$$
✔ She will make $27.65
---
#### C) If she currently has 436.8 ounces of fudge in stock, how many bricks will she need to sell to get rid of all of it?
Each brick = 33.6 oz
So divide total fudge by weight per brick:
$$
\frac{436.8}{33.6} = ?
$$
Let’s compute:
Divide both numerator and denominator by 1.6 to simplify:
$$
\frac{436.8 \div 1.6}{33.6 \div 1.6} = \frac{273}{21} = 13
$$
Alternatively, do direct division:
$$
\frac{436.8}{33.6} = 13
$$
✔ So, she needs to sell 13 bricks to use up all the fudge.
---
✔ Final Answers:
1) Cannot be solved — missing info about sugar (unless typo, then 3.0 cups of flour)
2) 98.79 ounces of sugar
3) 25 cookies
4) $98.75
5)
A) 117.6 ounces
B) $27.65
C) 13 bricks
---
Let me know if you'd like these formatted neatly for printing or submission!
Parent Tip: Review the logic above to help your child master the concept of hard math word problems.