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 problem step by step using the data provided in the table and reasoning.
---
| | June | July | August |
|----------|--------|--------|--------|
| Cones | 117 | 237 | 359 |
| Sundaes | 199 | 345 | ? |
| Milkshakes | 113 | ? | 128 |
| Total | ? | 699| 898|
We'll fill in missing values first, then answer the questions.
---
#### June Total
Add up June sales:
- Cones: 117
- Sundaes: 199
- Milkshakes: 113
June Total = 117 + 199 + 113 = 429
✔ So, June total = 429
---
#### August Sundaes
We know:
- August Total = 898
- Cones: 359
- Milkshakes: 128
So,
Sundaes in August = 898 - 359 - 128 = 411
✔ August Sundaes = 411
---
#### July Milkshakes
We know:
- July Total = 699
- Cones: 237
- Sundaes: 345
So,
Milkshakes in July = 699 - 237 - 345 = 117
✔ July Milkshakes = 117
---
Now our completed table:
| | June | July | August |
|----------|--------|--------|--------|
| Cones | 117 | 237 | 359 |
| Sundaes | 199 | 345 | 411 |
| Milkshakes | 113 | 117 | 128 |
| Total | 429| 699| 898|
---
---
#### 1) What was the total number of ice cream sales made in June?
From above:
Answer: 429
✔ Final Answer: 429
---
#### 2) How many more ice cream sales were made in July than in June?
July Total = 699
June Total = 429
Difference = 699 - 429 = 270
✔ Answer: 270
---
#### 3) How many milkshakes were sold in July?
From above: 117
✔ Answer: 117
---
#### 4) How many more ice cream cones were sold in August than in June?
August Cones = 359
June Cones = 117
Difference = 359 - 117 = 242
✔ Answer: 242
---
#### 5) If the ice cream shop sold 3 times as many cones in June than they did in February, how many cones did they sell in February?
Given: June cones = 117
They sold 3 times as many in June as in February → so:
Let February cones = x
Then:
3x = 117
→ x = 117 ÷ 3 = 39
✔ Answer: 39
---
#### 6) If the ice cream shop owner wants to triple her sale of sundaes from August to September, how many milkshakes would she need to sell in September?
Wait — this question is asking about milkshakes, but it talks about sundaes. That seems like a mistake.
Let’s read carefully:
> "If the ice cream shop owner wants to triple her sale of sundaes from August to September, how many milkshakes would she need to sell in September?"
This doesn’t make sense — tripling sundaes has nothing to do with milkshakes unless we’re assuming something else. But there’s no info linking sundaes and milkshakes.
Possibility: This might be a typo. Perhaps it meant "how many sundaes"?
But let's assume it's asking for sundaes in September (since it mentions tripling sundaes).
August sundaes = 411
Triple that: 411 × 3 = 1233
But the question says "how many milkshakes" — which is confusing.
Alternatively, maybe it's implying that she wants to triple her sundae sales, and asks how many milkshakes she needs to sell — but without any relation, we can't determine that.
Unless... perhaps it's a misprint and should say "sundaes" instead of "milkshakes"?
Let’s consider: if the intent is to find September sundaes, then:
✔ Answer: 1233 sundaes
But since it asks for milkshakes, and gives no relationship between them, we must conclude it's likely a typo.
👉 Best interpretation: The question meant to ask:
*"How many sundaes would she need to sell in September?"*
So, Answer: 1233
But since it says milkshakes, and we have no info to connect it, we cannot determine the number of milkshakes based on sundaes.
However, given the context, it's highly probable it's a typo.
✔ Assuming typo: Answer = 1233 sundaes
But since the question specifically says "milkshakes", and we have no data to link them, this question cannot be answered as written.
But let's suppose it's asking:
*"If she wants to triple her sundae sales, how many sundaes will she sell?"* → then 1233
But again, it says milkshakes — so no valid answer possible unless we assume another error.
Alternatively, maybe it meant: *"If she wants to triple her milkshake sales from August to September..."* — but it says sundaes.
So, we must go with the most logical assumption: it's a typo, and it should be sundaes.
✔ Answer: 1233 (assuming typo)
---
#### 7) The number of milkshakes sold in April was one-fourth of the number sold in August. How many milkshakes were sold in April?
August milkshakes = 128
One-fourth of that = 128 ÷ 4 = 32
✔ Answer: 32
---
#### 8) What are 3 possible reasons why August had the highest number of sales?
This is an open-ended question. Here are three reasonable explanations:
1. Hotter weather in August leads to higher demand for cold treats.
2. More people are on vacation in August, increasing foot traffic at shops.
3. School is not in session, so children and families have more free time to visit ice cream shops.
✔ Possible Answers:
- Warmer temperatures in August
- More tourists visiting during summer peak season
- Families are out on summer vacations
---
1. 429
2. 270
3. 117
4. 242
5. 39
6. 1233 (assuming typo — should be sundaes, not milkshakes)
7. 32
8. Possible reasons:
- Hotter weather
- More tourists
- Summer vacation period
---
Let me know if you'd like this formatted as a printable answer sheet!
---
Table: Last Summer's Ice Cream Sales
| | June | July | August |
|----------|--------|--------|--------|
| Cones | 117 | 237 | 359 |
| Sundaes | 199 | 345 | ? |
| Milkshakes | 113 | ? | 128 |
| Total | ? | 699| 898|
We'll fill in missing values first, then answer the questions.
---
Step 1: Fill in missing totals and values
#### June Total
Add up June sales:
- Cones: 117
- Sundaes: 199
- Milkshakes: 113
June Total = 117 + 199 + 113 = 429
✔ So, June total = 429
---
#### August Sundaes
We know:
- August Total = 898
- Cones: 359
- Milkshakes: 128
So,
Sundaes in August = 898 - 359 - 128 = 411
✔ August Sundaes = 411
---
#### July Milkshakes
We know:
- July Total = 699
- Cones: 237
- Sundaes: 345
So,
Milkshakes in July = 699 - 237 - 345 = 117
✔ July Milkshakes = 117
---
Now our completed table:
| | June | July | August |
|----------|--------|--------|--------|
| Cones | 117 | 237 | 359 |
| Sundaes | 199 | 345 | 411 |
| Milkshakes | 113 | 117 | 128 |
| Total | 429| 699| 898|
---
Now Answer Each Question
---
#### 1) What was the total number of ice cream sales made in June?
From above:
Answer: 429
✔ Final Answer: 429
---
#### 2) How many more ice cream sales were made in July than in June?
July Total = 699
June Total = 429
Difference = 699 - 429 = 270
✔ Answer: 270
---
#### 3) How many milkshakes were sold in July?
From above: 117
✔ Answer: 117
---
#### 4) How many more ice cream cones were sold in August than in June?
August Cones = 359
June Cones = 117
Difference = 359 - 117 = 242
✔ Answer: 242
---
#### 5) If the ice cream shop sold 3 times as many cones in June than they did in February, how many cones did they sell in February?
Given: June cones = 117
They sold 3 times as many in June as in February → so:
Let February cones = x
Then:
3x = 117
→ x = 117 ÷ 3 = 39
✔ Answer: 39
---
#### 6) If the ice cream shop owner wants to triple her sale of sundaes from August to September, how many milkshakes would she need to sell in September?
Wait — this question is asking about milkshakes, but it talks about sundaes. That seems like a mistake.
Let’s read carefully:
> "If the ice cream shop owner wants to triple her sale of sundaes from August to September, how many milkshakes would she need to sell in September?"
This doesn’t make sense — tripling sundaes has nothing to do with milkshakes unless we’re assuming something else. But there’s no info linking sundaes and milkshakes.
Possibility: This might be a typo. Perhaps it meant "how many sundaes"?
But let's assume it's asking for sundaes in September (since it mentions tripling sundaes).
August sundaes = 411
Triple that: 411 × 3 = 1233
But the question says "how many milkshakes" — which is confusing.
Alternatively, maybe it's implying that she wants to triple her sundae sales, and asks how many milkshakes she needs to sell — but without any relation, we can't determine that.
Unless... perhaps it's a misprint and should say "sundaes" instead of "milkshakes"?
Let’s consider: if the intent is to find September sundaes, then:
✔ Answer: 1233 sundaes
But since it asks for milkshakes, and gives no relationship between them, we must conclude it's likely a typo.
👉 Best interpretation: The question meant to ask:
*"How many sundaes would she need to sell in September?"*
So, Answer: 1233
But since it says milkshakes, and we have no info to connect it, we cannot determine the number of milkshakes based on sundaes.
However, given the context, it's highly probable it's a typo.
✔ Assuming typo: Answer = 1233 sundaes
But since the question specifically says "milkshakes", and we have no data to link them, this question cannot be answered as written.
But let's suppose it's asking:
*"If she wants to triple her sundae sales, how many sundaes will she sell?"* → then 1233
But again, it says milkshakes — so no valid answer possible unless we assume another error.
Alternatively, maybe it meant: *"If she wants to triple her milkshake sales from August to September..."* — but it says sundaes.
So, we must go with the most logical assumption: it's a typo, and it should be sundaes.
✔ Answer: 1233 (assuming typo)
---
#### 7) The number of milkshakes sold in April was one-fourth of the number sold in August. How many milkshakes were sold in April?
August milkshakes = 128
One-fourth of that = 128 ÷ 4 = 32
✔ Answer: 32
---
#### 8) What are 3 possible reasons why August had the highest number of sales?
This is an open-ended question. Here are three reasonable explanations:
1. Hotter weather in August leads to higher demand for cold treats.
2. More people are on vacation in August, increasing foot traffic at shops.
3. School is not in session, so children and families have more free time to visit ice cream shops.
✔ Possible Answers:
- Warmer temperatures in August
- More tourists visiting during summer peak season
- Families are out on summer vacations
---
✔ Final Answers Summary:
1. 429
2. 270
3. 117
4. 242
5. 39
6. 1233 (assuming typo — should be sundaes, not milkshakes)
7. 32
8. Possible reasons:
- Hotter weather
- More tourists
- Summer vacation period
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of math worksheet for 5th grade word problems.