Word problems worksheet on mixed operations using ice cream sales data.
A worksheet titled "Word Problems: Mixed Operations" from Mashup Math, featuring a table of ice cream sales data for June, July, and August, with questions related to the data. The worksheet includes a colorful illustration of an ice cream shop and an ice cream sundae.
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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?
We are told:
June cones = 117
And this is 3 times what they sold in February.
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 — the question says “how many milkshakes would she need to sell”? But it refers to tripling sundaes.
This seems like a typo or confusion. 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?"
That doesn’t make sense — tripling sundaes has nothing directly to do with milkshakes, unless we’re missing context.
But perhaps it's asking: *How many sundaes will be sold in September if she triples August’s sundae sales?* But it asks for milkshakes.
Alternatively, maybe it's a misstatement, and it should be: *how many sundaes*?
But since it explicitly says “how many milkshakes”, and no info links sundaes to milkshakes, this might be a trick.
However, let’s assume it's a typo and it meant:
> “How many sundaes would she need to sell in September?”
Then:
August sundaes = 411
Triple that = 411 × 3 = 1233
But since the question says milkshakes, and there's no data linking sundaes to milkshakes, we cannot determine milkshake sales based on sundae goals.
So unless there's an assumption (e.g., same ratio), we can't answer.
But wait — perhaps the question is asking:
> If she triples her sundae sales, and we're to find how many milkshakes she needs to sell?
But no such relationship is given.
So likely, this is a mistake in the question.
But let's re-read:
> “how many milkshakes would she need to sell in September?”
There's no information about desired milkshake sales or any relation between sundaes and milkshakes.
So unless we assume she wants to keep the same ratio of milkshakes to sundaes, we can't answer.
But that’s not stated.
Alternatively, perhaps the question meant:
> “How many sundaes would she need to sell in September?” → Then answer is 411 × 3 = 1233
But since it says milkshakes, and no info, we have to conclude either:
- It's a typo, and it should be sundaes
- Or it's asking for milkshakes but we lack data
Given that, I suspect it's a typo.
But let’s suppose it’s asking:
> “If she wants to triple her sundae sales, how many sundaes will she sell in September?”
Then:
411 × 3 = 1233
But again, it says milkshakes.
Unless the shop sells only one type of item per month, which isn’t true.
So no logical way to answer unless we assume something.
But perhaps the question is flawed.
Wait — another possibility: maybe it's asking:
> “How many milkshakes would she need to sell in September” if she triples sundae sales?
But without a target or relationship, we can't say.
So unless we assume same proportion as before, we can't compute.
Let’s try that.
Suppose she wants to triple sundaes to 1233, and keeps the same ratio of milkshakes to sundaes as in August.
In August:
- Sundaes: 411
- Milkshakes: 128
- Ratio: 128 / 411 ≈ 0.311
So milkshakes = 0.311 × 1233 ≈ 384.3 → ~384
But that’s speculative.
But the question doesn’t say anything about ratios.
Therefore, we cannot determine how many milkshakes she needs to sell based on tripling sundaes.
So likely, this is a typo and it should be:
> “How many sundaes would she need to sell in September?”
Then answer:
411 × 3 = 1233
✔ Best interpretation: Answer = 1233 (assuming typo)
But since it says "milkshakes", and we have no info, the question is incomplete.
But for the sake of completing, let’s assume it’s asking for sundaes.
So:
✔ Answer: 1233 (sundaes)
But if it really means milkshakes, then insufficient information.
But since this is a math worksheet, likely a typo.
We’ll go with 1233 (assuming it’s asking for sundaes).
---
#### 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. Possible answers include:
1. Hotter weather in August → More people want cold treats.
2. School is out → More kids and families visiting shops.
3. Summer vacations → People traveling and spending more on treats.
Other valid reasons:
- End-of-summer promotions or events
- Holiday weekends (e.g., Labor Day)
- Increased foot traffic due to tourism
✔ Possible Answers:
1. Hotter temperatures increased demand for cold desserts.
2. School holidays led to more children and families visiting the shop.
3. Summer vacations and travel brought more customers.
---
1. 429
2. 270
3. 117
4. 242
5. 39
6. 1233 *(assuming typo — meant sundaes)*
7. 32
8.
- Hotter weather
- School is out
- Summer vacations and tourism
---
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?
We are told:
June cones = 117
And this is 3 times what they sold in February.
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 — the question says “how many milkshakes would she need to sell”? But it refers to tripling sundaes.
This seems like a typo or confusion. 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?"
That doesn’t make sense — tripling sundaes has nothing directly to do with milkshakes, unless we’re missing context.
But perhaps it's asking: *How many sundaes will be sold in September if she triples August’s sundae sales?* But it asks for milkshakes.
Alternatively, maybe it's a misstatement, and it should be: *how many sundaes*?
But since it explicitly says “how many milkshakes”, and no info links sundaes to milkshakes, this might be a trick.
However, let’s assume it's a typo and it meant:
> “How many sundaes would she need to sell in September?”
Then:
August sundaes = 411
Triple that = 411 × 3 = 1233
But since the question says milkshakes, and there's no data linking sundaes to milkshakes, we cannot determine milkshake sales based on sundae goals.
So unless there's an assumption (e.g., same ratio), we can't answer.
But wait — perhaps the question is asking:
> If she triples her sundae sales, and we're to find how many milkshakes she needs to sell?
But no such relationship is given.
So likely, this is a mistake in the question.
But let's re-read:
> “how many milkshakes would she need to sell in September?”
There's no information about desired milkshake sales or any relation between sundaes and milkshakes.
So unless we assume she wants to keep the same ratio of milkshakes to sundaes, we can't answer.
But that’s not stated.
Alternatively, perhaps the question meant:
> “How many sundaes would she need to sell in September?” → Then answer is 411 × 3 = 1233
But since it says milkshakes, and no info, we have to conclude either:
- It's a typo, and it should be sundaes
- Or it's asking for milkshakes but we lack data
Given that, I suspect it's a typo.
But let’s suppose it’s asking:
> “If she wants to triple her sundae sales, how many sundaes will she sell in September?”
Then:
411 × 3 = 1233
But again, it says milkshakes.
Unless the shop sells only one type of item per month, which isn’t true.
So no logical way to answer unless we assume something.
But perhaps the question is flawed.
Wait — another possibility: maybe it's asking:
> “How many milkshakes would she need to sell in September” if she triples sundae sales?
But without a target or relationship, we can't say.
So unless we assume same proportion as before, we can't compute.
Let’s try that.
Suppose she wants to triple sundaes to 1233, and keeps the same ratio of milkshakes to sundaes as in August.
In August:
- Sundaes: 411
- Milkshakes: 128
- Ratio: 128 / 411 ≈ 0.311
So milkshakes = 0.311 × 1233 ≈ 384.3 → ~384
But that’s speculative.
But the question doesn’t say anything about ratios.
Therefore, we cannot determine how many milkshakes she needs to sell based on tripling sundaes.
So likely, this is a typo and it should be:
> “How many sundaes would she need to sell in September?”
Then answer:
411 × 3 = 1233
✔ Best interpretation: Answer = 1233 (assuming typo)
But since it says "milkshakes", and we have no info, the question is incomplete.
But for the sake of completing, let’s assume it’s asking for sundaes.
So:
✔ Answer: 1233 (sundaes)
But if it really means milkshakes, then insufficient information.
But since this is a math worksheet, likely a typo.
We’ll go with 1233 (assuming it’s asking for sundaes).
---
#### 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. Possible answers include:
1. Hotter weather in August → More people want cold treats.
2. School is out → More kids and families visiting shops.
3. Summer vacations → People traveling and spending more on treats.
Other valid reasons:
- End-of-summer promotions or events
- Holiday weekends (e.g., Labor Day)
- Increased foot traffic due to tourism
✔ Possible Answers:
1. Hotter temperatures increased demand for cold desserts.
2. School holidays led to more children and families visiting the shop.
3. Summer vacations and travel brought more customers.
---
✔ Final Answers:
1. 429
2. 270
3. 117
4. 242
5. 39
6. 1233 *(assuming typo — meant sundaes)*
7. 32
8.
- Hotter weather
- School is out
- Summer vacations and tourism
---
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 multiplication word problems worksheet grade 5.