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 question step by step using the table provided.
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Table: Last Summer’s Ice Cream Sales
| | June | July | August |
|----------|-------|-------|--------|
| Cones | 117 | 237 | 359 |
| Sundaes | 199 | 345 | ? |
| Milkshakes | 113 | ? | 128 |
| Total| ? | 699 | 898 |
---
Add up all items sold in June:
- Cones: 117
- Sundaes: 199
- Milkshakes: 113
Total = 117 + 199 + 113
→ 117 + 199 = 316
→ 316 + 113 = 429
✔ Answer: 429
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July total = 699 (given)
June total = 429 (from Q1)
Difference = 699 - 429 = 270
✔ Answer: 270
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We know July’s total = 699
Cones in July = 237
Sundaes in July = 345
So, Milkshakes = Total - Cones - Sundaes
→ 699 - 237 - 345
First: 699 - 237 = 462
Then: 462 - 345 = 117
✔ Answer: 117
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August cones = 359
June cones = 117
Difference = 359 - 117 = 242
✔ Answer: 242
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June cones = 117
This is 3 times February’s cones.
So, February cones = 117 ÷ 3 = 39
✔ Answer: 39
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First, we need to find how many sundaes were sold in August.
From August row:
Total = 898
Cones = 359
Milkshakes = 128
So, Sundaes = 898 - 359 - 128
→ 898 - 359 = 539
→ 539 - 128 = 411
Now, triple that for September:
411 × 3 = 1,233
✔ Answer: 1,233
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Wait — this question is phrased oddly. It says “how many milkshakes were sold in August?” but we already know that from the table: 128.
But let’s read carefully:
> *The number of milkshakes sold in April was one-fourth the number sold in August. How many milkshakes were sold in August?*
Actually, it’s giving us a relationship and asking for August’s value — but we already have it. So perhaps it’s testing if you notice that the answer is given directly.
Alternatively, maybe it’s misphrased and meant to ask:
> *How many milkshakes were sold in April?*
Because if April = ¼ of August, and August = 128, then April = 128 ÷ 4 = 32.
But since the question literally asks:
> “How many milkshakes were sold in August?”
And the table says 128, we must go with that.
✔ Answer: 128
*(Note: If this was intended to ask about April, the answer would be 32. But based on wording, 128 is correct.)*
---
This is an open-ended reasoning question. Here are 3 logical, realistic answers:
1. Summer vacation peak: August is often the height of summer, with kids out of school and families on vacation, leading to more outings and ice cream purchases.
2. Hot weather: August typically has the hottest temperatures of the year in many regions, increasing demand for cold treats like ice cream.
3. End-of-summer events: Back-to-school sales, end-of-summer fairs, festivals, or holiday weekends (like Labor Day) may drive higher foot traffic and sales.
✔ Sample Answer:
- August is peak summer vacation time.
- Hotter weather increases ice cream demand.
- End-of-summer events and holidays boost customer traffic.
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## ✔ Final Answers Summary:
1. 429
2. 270
3. 117
4. 242
5. 39
6. 1,233
7. 128
8. *(Open-ended)* e.g., peak vacation season, hot weather, end-of-summer events.
---
Let me know if you’d like this formatted as a worksheet answer key!
---
Table: Last Summer’s Ice Cream Sales
| | June | July | August |
|----------|-------|-------|--------|
| Cones | 117 | 237 | 359 |
| Sundaes | 199 | 345 | ? |
| Milkshakes | 113 | ? | 128 |
| Total| ? | 699 | 898 |
---
1.) What was the total number of ice cream sales made in June?
Add up all items sold in June:
- Cones: 117
- Sundaes: 199
- Milkshakes: 113
Total = 117 + 199 + 113
→ 117 + 199 = 316
→ 316 + 113 = 429
✔ Answer: 429
---
2.) How many more ice cream sales were made in July than in June?
July total = 699 (given)
June total = 429 (from Q1)
Difference = 699 - 429 = 270
✔ Answer: 270
---
3.) How many milkshakes were sold in July?
We know July’s total = 699
Cones in July = 237
Sundaes in July = 345
So, Milkshakes = Total - Cones - Sundaes
→ 699 - 237 - 345
First: 699 - 237 = 462
Then: 462 - 345 = 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?
June cones = 117
This is 3 times February’s cones.
So, February cones = 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 sundaes will she need to sell in September?
First, we need to find how many sundaes were sold in August.
From August row:
Total = 898
Cones = 359
Milkshakes = 128
So, Sundaes = 898 - 359 - 128
→ 898 - 359 = 539
→ 539 - 128 = 411
Now, triple that for September:
411 × 3 = 1,233
✔ Answer: 1,233
---
7.) The number of milkshakes sold in April was one-fourth the number sold in August. How many milkshakes were sold in August?
Wait — this question is phrased oddly. It says “how many milkshakes were sold in August?” but we already know that from the table: 128.
But let’s read carefully:
> *The number of milkshakes sold in April was one-fourth the number sold in August. How many milkshakes were sold in August?*
Actually, it’s giving us a relationship and asking for August’s value — but we already have it. So perhaps it’s testing if you notice that the answer is given directly.
Alternatively, maybe it’s misphrased and meant to ask:
> *How many milkshakes were sold in April?*
Because if April = ¼ of August, and August = 128, then April = 128 ÷ 4 = 32.
But since the question literally asks:
> “How many milkshakes were sold in August?”
And the table says 128, we must go with that.
✔ Answer: 128
*(Note: If this was intended to ask about April, the answer would be 32. But based on wording, 128 is correct.)*
---
8.) What are 3 possible reasons why August had the highest number of sales?
This is an open-ended reasoning question. Here are 3 logical, realistic answers:
1. Summer vacation peak: August is often the height of summer, with kids out of school and families on vacation, leading to more outings and ice cream purchases.
2. Hot weather: August typically has the hottest temperatures of the year in many regions, increasing demand for cold treats like ice cream.
3. End-of-summer events: Back-to-school sales, end-of-summer fairs, festivals, or holiday weekends (like Labor Day) may drive higher foot traffic and sales.
✔ Sample Answer:
- August is peak summer vacation time.
- Hotter weather increases ice cream demand.
- End-of-summer events and holidays boost customer traffic.
---
## ✔ Final Answers Summary:
1. 429
2. 270
3. 117
4. 242
5. 39
6. 1,233
7. 128
8. *(Open-ended)* e.g., peak vacation season, hot weather, end-of-summer events.
---
Let me know if you’d like this formatted as a worksheet answer key!
Parent Tip: Review the logic above to help your child master the concept of word problems for 5th grade worksheet.