Math worksheet for calculating unit prices and identifying better buys.
A math worksheet titled "Unit Price/Better Buys" with questions comparing prices of various items to determine the better buy and calculate unit prices.
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Explanation:
We need to find the *better buy* for each pair — that means the option with the lower unit price (price per item). To do this, we calculate:
Unit price = Total price ÷ Number of items
Let’s go through each pair one by one.
---
1. Watermelons
- 2 watermelons for $5.50 → unit price = $5.50 ÷ 2 = $2.75 each
- 5 watermelons for $16 → unit price = $16 ÷ 5 = $3.20 each
✔ Better buy: 2 for $5.50 (cheaper per watermelon)
---
2. Water bottles
- 58 for $70 → $70 ÷ 58 ≈ $1.2069
- 90 for $108 → $108 ÷ 90 = $1.20
✔ Better buy: 90 for $108 (slightly cheaper per bottle)
---
3. Toy cars
- 3 for $7.50 → $7.50 ÷ 3 = $2.50 each
- 7 for $16.45 → $16.45 ÷ 7 = $2.35 each
✔ Better buy: 7 for $16.45
---
4. Salt
- 5 oz for $1 → $1 ÷ 5 = $0.20 per oz
- 15 oz for $3.75 → $3.75 ÷ 15 = $0.25 per oz
✔ Better buy: 5 oz for $1
---
5. Rulers
- 120 for $192 → $192 ÷ 120 = $1.60 each
- 60 for $84 → $84 ÷ 60 = $1.40 each
✔ Better buy: 60 for $84
---
6. Comic books
- 20 for $100 → $100 ÷ 20 = $5 each
- 12 for $54 → $54 ÷ 12 = $4.50 each
✔ Better buy: 12 for $54
---
7. Pencils
- 15 for $18.75 → $18.75 ÷ 15 = $1.25 each
- 250 for $287.50 → $287.50 ÷ 250 = $1.15 each
✔ Better buy: 250 for $287.50
---
8. Candies
- 3 bags for $7.50 → $7.50 ÷ 3 = $2.50 per bag
- 9 bags for $24 → $24 ÷ 9 ≈ $2.666... per bag
✔ Better buy: 3 for $7.50
---
9. Milk
- 2 bottles for $1.30 → $1.30 ÷ 2 = $0.65 per bottle
- 9 bottles for $6.75 → $6.75 ÷ 9 = $0.75 per bottle
✔ Better buy: 2 for $1.30
---
10. Speaker sets
- 12 for $300 → $300 ÷ 12 = $25 each
- 5 for $150 → $150 ÷ 5 = $30 each
✔ Better buy: 12 for $300
---
11. Shoes
- 3 pairs for $160 → $160 ÷ 3 ≈ $53.33 per pair
- 10 pairs for $500 → $500 ÷ 10 = $50 per pair
✔ Better buy: 10 for $500
---
12. Chocolate bars
- 20 for $26 → $26 ÷ 20 = $1.30 each
- 15 for $18.75 → $18.75 ÷ 15 = $1.25 each
✔ Better buy: 15 for $18.75
---
Now, the question says:
“Which is the better buy? What’s its unit price?”
But since there are 12 separate comparisons, and the worksheet expects answers for each row, likely the student is to fill in the better buy and its unit price for each.
However, the instruction says: *Solve the problem accurately*, and only one Final Answer is expected.
Looking again — the header says “Unit Price/Better Buys”, and the format has 12 rows. But the user didn’t specify which row — so perhaps the task is to identify all better buys and their unit prices.
But the response format requires only one Final Answer. Since the problem as presented is a worksheet with multiple items, and no specific row is highlighted, the most reasonable interpretation is that the student must list the better buy and unit price for each pair.
Yet the instruction says: *ONLY THEN provide the final answer*, and the Final Answer section should contain only the answer — implying a single boxed answer.
Wait — rechecking: The original image likely expects students to write answers in the blanks (e.g., on paper), but here, since it's a single query, and no specific row is asked, perhaps the question is generic — but that doesn’t make sense.
Alternative: Maybe the problem is to find which single option among all is the best value overall? That would be the lowest unit price across all items.
Let’s list all the unit prices of the better buys we found:
1. Watermelon: $2.75
2. Water bottle: $1.20
3. Toy car: $2.35
4. Salt: $0.20
5. Ruler: $1.40
6. Comic book: $4.50
7. Pencil: $1.15
8. Candy: $2.50
9. Milk: $0.65
10. Speaker: $25
11. Shoes: $50
12. Chocolate: $1.25
The lowest unit price is salt at $0.20 per ounce (5 oz for $1).
But the question says: *“Which is the better buy? What’s its unit price?”* — singular — suggesting maybe they want just one answer, and the most extreme/best value is salt.
However, in standard classroom worksheets like this, students are expected to answer all rows. But since the user asked for *the* solution, and only one Final Answer is allowed, and given the structure of the prompt, I think the safest interpretation is: the worksheet has multiple problems, but the assistant is to solve them all — yet the format restricts to one final answer.
Wait — looking at the copyright: www.mathinenglish.com — this is a known worksheet where students fill in the better buy and unit price for each row. But since the user hasn’t specified a particular row, and the instruction says “Solve the problem accurately”, and we must give only one Final Answer, perhaps the expected output is to list all better buys with unit prices — but that violates the “only final answer” rule.
Re-read the user instruction:
> Solve the problem accurately.
> ...
> Final Answer: [Provide only the final correct answer]
Given ambiguity, but to comply strictly, and since the first pair is at the top and often used as example, but that’s not reliable.
Another idea: Maybe the question is rhetorical — “Which is the better buy? What’s its unit price?” is the header, and the real task is to compute for each. But the system expects one answer.
Let me check calculations again — maybe one of them is tricky and commonly mistaken.
Look at pencils:
15 for $18.75 → $1.25
250 for $287.50 → $287.50 ÷ 250 = let’s compute exactly:
250 × 1.15 = 287.5 → yes, $1.15. So 250 is better.
Candies: 3 for $7.50 = $2.50; 9 for $24 = $24/9 = 2.666… → 3 is better.
All correct.
Given the constraints, and that the user likely expects the answers per row, but the format forces one Final Answer, I will assume the question intends for us to report the better buy and unit price for each pair in a compact list — and since the instructions say “only the final answer” after reasoning, I’ll put the full list as the final answer in a clear format.
But the rule says: *Provide only the final correct answer* — so no explanations in Final Answer.
I will format the final answer as a list of the better buys with unit prices, as that is the complete solution.
Final Answer:
1. 2 watermelons for $5.50 → $2.75 each
2. 90 water bottles for $108 → $1.20 each
3. 7 toy cars for $16.45 → $2.35 each
4. 5 ounces of salt for $1 → $0.20 per oz
5. 60 rulers for $84 → $1.40 each
6. 12 comic books for $54 → $4.50 each
7. 250 pencils for $287.50 → $1.15 each
8. 3 bags of candies for $7.50 → $2.50 per bag
9. 2 bottles of milk for $1.30 → $0.65 per bottle
10. 12 speaker sets for $300 → $25 each
11. 10 pairs of shoes for $500 → $50 per pair
12. 15 chocolate bars for $18.75 → $1.25 each
We need to find the *better buy* for each pair — that means the option with the lower unit price (price per item). To do this, we calculate:
Unit price = Total price ÷ Number of items
Let’s go through each pair one by one.
---
1. Watermelons
- 2 watermelons for $5.50 → unit price = $5.50 ÷ 2 = $2.75 each
- 5 watermelons for $16 → unit price = $16 ÷ 5 = $3.20 each
✔ Better buy: 2 for $5.50 (cheaper per watermelon)
---
2. Water bottles
- 58 for $70 → $70 ÷ 58 ≈ $1.2069
- 90 for $108 → $108 ÷ 90 = $1.20
✔ Better buy: 90 for $108 (slightly cheaper per bottle)
---
3. Toy cars
- 3 for $7.50 → $7.50 ÷ 3 = $2.50 each
- 7 for $16.45 → $16.45 ÷ 7 = $2.35 each
✔ Better buy: 7 for $16.45
---
4. Salt
- 5 oz for $1 → $1 ÷ 5 = $0.20 per oz
- 15 oz for $3.75 → $3.75 ÷ 15 = $0.25 per oz
✔ Better buy: 5 oz for $1
---
5. Rulers
- 120 for $192 → $192 ÷ 120 = $1.60 each
- 60 for $84 → $84 ÷ 60 = $1.40 each
✔ Better buy: 60 for $84
---
6. Comic books
- 20 for $100 → $100 ÷ 20 = $5 each
- 12 for $54 → $54 ÷ 12 = $4.50 each
✔ Better buy: 12 for $54
---
7. Pencils
- 15 for $18.75 → $18.75 ÷ 15 = $1.25 each
- 250 for $287.50 → $287.50 ÷ 250 = $1.15 each
✔ Better buy: 250 for $287.50
---
8. Candies
- 3 bags for $7.50 → $7.50 ÷ 3 = $2.50 per bag
- 9 bags for $24 → $24 ÷ 9 ≈ $2.666... per bag
✔ Better buy: 3 for $7.50
---
9. Milk
- 2 bottles for $1.30 → $1.30 ÷ 2 = $0.65 per bottle
- 9 bottles for $6.75 → $6.75 ÷ 9 = $0.75 per bottle
✔ Better buy: 2 for $1.30
---
10. Speaker sets
- 12 for $300 → $300 ÷ 12 = $25 each
- 5 for $150 → $150 ÷ 5 = $30 each
✔ Better buy: 12 for $300
---
11. Shoes
- 3 pairs for $160 → $160 ÷ 3 ≈ $53.33 per pair
- 10 pairs for $500 → $500 ÷ 10 = $50 per pair
✔ Better buy: 10 for $500
---
12. Chocolate bars
- 20 for $26 → $26 ÷ 20 = $1.30 each
- 15 for $18.75 → $18.75 ÷ 15 = $1.25 each
✔ Better buy: 15 for $18.75
---
Now, the question says:
“Which is the better buy? What’s its unit price?”
But since there are 12 separate comparisons, and the worksheet expects answers for each row, likely the student is to fill in the better buy and its unit price for each.
However, the instruction says: *Solve the problem accurately*, and only one Final Answer is expected.
Looking again — the header says “Unit Price/Better Buys”, and the format has 12 rows. But the user didn’t specify which row — so perhaps the task is to identify all better buys and their unit prices.
But the response format requires only one Final Answer. Since the problem as presented is a worksheet with multiple items, and no specific row is highlighted, the most reasonable interpretation is that the student must list the better buy and unit price for each pair.
Yet the instruction says: *ONLY THEN provide the final answer*, and the Final Answer section should contain only the answer — implying a single boxed answer.
Wait — rechecking: The original image likely expects students to write answers in the blanks (e.g., on paper), but here, since it's a single query, and no specific row is asked, perhaps the question is generic — but that doesn’t make sense.
Alternative: Maybe the problem is to find which single option among all is the best value overall? That would be the lowest unit price across all items.
Let’s list all the unit prices of the better buys we found:
1. Watermelon: $2.75
2. Water bottle: $1.20
3. Toy car: $2.35
4. Salt: $0.20
5. Ruler: $1.40
6. Comic book: $4.50
7. Pencil: $1.15
8. Candy: $2.50
9. Milk: $0.65
10. Speaker: $25
11. Shoes: $50
12. Chocolate: $1.25
The lowest unit price is salt at $0.20 per ounce (5 oz for $1).
But the question says: *“Which is the better buy? What’s its unit price?”* — singular — suggesting maybe they want just one answer, and the most extreme/best value is salt.
However, in standard classroom worksheets like this, students are expected to answer all rows. But since the user asked for *the* solution, and only one Final Answer is allowed, and given the structure of the prompt, I think the safest interpretation is: the worksheet has multiple problems, but the assistant is to solve them all — yet the format restricts to one final answer.
Wait — looking at the copyright: www.mathinenglish.com — this is a known worksheet where students fill in the better buy and unit price for each row. But since the user hasn’t specified a particular row, and the instruction says “Solve the problem accurately”, and we must give only one Final Answer, perhaps the expected output is to list all better buys with unit prices — but that violates the “only final answer” rule.
Re-read the user instruction:
> Solve the problem accurately.
> ...
> Final Answer: [Provide only the final correct answer]
Given ambiguity, but to comply strictly, and since the first pair is at the top and often used as example, but that’s not reliable.
Another idea: Maybe the question is rhetorical — “Which is the better buy? What’s its unit price?” is the header, and the real task is to compute for each. But the system expects one answer.
Let me check calculations again — maybe one of them is tricky and commonly mistaken.
Look at pencils:
15 for $18.75 → $1.25
250 for $287.50 → $287.50 ÷ 250 = let’s compute exactly:
250 × 1.15 = 287.5 → yes, $1.15. So 250 is better.
Candies: 3 for $7.50 = $2.50; 9 for $24 = $24/9 = 2.666… → 3 is better.
All correct.
Given the constraints, and that the user likely expects the answers per row, but the format forces one Final Answer, I will assume the question intends for us to report the better buy and unit price for each pair in a compact list — and since the instructions say “only the final answer” after reasoning, I’ll put the full list as the final answer in a clear format.
But the rule says: *Provide only the final correct answer* — so no explanations in Final Answer.
I will format the final answer as a list of the better buys with unit prices, as that is the complete solution.
Final Answer:
1. 2 watermelons for $5.50 → $2.75 each
2. 90 water bottles for $108 → $1.20 each
3. 7 toy cars for $16.45 → $2.35 each
4. 5 ounces of salt for $1 → $0.20 per oz
5. 60 rulers for $84 → $1.40 each
6. 12 comic books for $54 → $4.50 each
7. 250 pencils for $287.50 → $1.15 each
8. 3 bags of candies for $7.50 → $2.50 per bag
9. 2 bottles of milk for $1.30 → $0.65 per bottle
10. 12 speaker sets for $300 → $25 each
11. 10 pairs of shoes for $500 → $50 per pair
12. 15 chocolate bars for $18.75 → $1.25 each
Parent Tip: Review the logic above to help your child master the concept of comparing prices worksheet.