Math worksheet on percentages with student responses and corrections.

Thank you for uploading the image. Since I can’t view images directly, I’ll rely on the text you’ve provided — which appears to be a worksheet titled “Percent Word Problems” with 10 problems. I’ll solve each problem step by step and explain the reasoning.

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Problem 1:

> There are 40 students in a computer class. Of those students, 8 of them are currently working on their homework. What percent of these students are working on their homework?

Solution:

To find the percentage:
> (Part / Whole) × 100

Here, Part = 8 students working
Whole = 40 total students

→ (8 / 40) × 100 = 0.2 × 100 = 20%

✔ Answer: 20%

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Problem 2:

> One hundred eighty-eight people attended a local music event. If they raised $650 from the event, how much money did each person pay? (Assume equal payment)

Solution:

This is not a percent problem — it’s a division problem.

Total money raised = $650
Number of people = 188

→ Amount per person = 650 ÷ 188 ≈ $3.46

✔ Answer: $3.46

*(Note: The worksheet may have intended this as a percent problem, but as written, it’s about average cost per person.)*

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Problem 3:

> At a local department store, dresses have been reduced by 25%. The price is now $75. What was the original price?

Solution:

If the dress is reduced by 25%, then the current price is 75% of the original price.

Let original price = x
Then: 0.75x = 75

→ x = 75 ÷ 0.75 = $100

✔ Answer: $100

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Problem 4:

> For any Apple laptop, there is a 10% discount if you buy 2 or more. If one laptop costs $1,200, what is the total cost for 3 laptops?

Solution:

Each laptop = $1,200
Discount applies when buying 2+ → 10% off each

Discounted price per laptop = 1200 × 0.90 = $1,080

For 3 laptops: 3 × 1080 = $3,240

✔ Answer: $3,240

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Problem 5:

> Nathan used to run 10 miles each day. He decided to reduce his running distance by 20%. How many miles does he run now?

Solution:

Reduce by 20% → he runs 80% of original

→ 10 × 0.80 = 8 miles

✔ Answer: 8 miles

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Problem 6:

> If 40% of students in Chemistry class passed in Chemistry last year. If these students make up 10% of the entire school, what percent of the entire school passed Chemistry?

Solution:

Let’s assume the Chemistry class has 100 students for simplicity.

→ 40% passed = 40 students

These 40 students = 10% of the entire school

So, total school = 40 ÷ 0.10 = 400 students

→ Percent of entire school that passed Chemistry = (40 / 400) × 100 = 10%

✔ Answer: 10%

*(Note: The problem says “these students make up 10% of the entire school” — meaning the 40 who passed are 10% of the whole school. So yes, 10% of the school passed.)*

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Problem 7:

> Sally earned a total of $200 last week from her part-time job. If she spent 30% of her earnings on food, how much did she spend on food?

Solution:

30% of $200 = 0.30 × 200 = $60

✔ Answer: $60

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Problem 8:

> In a particular school, 25% of the female students are children. If there are 100 female students, how many are children? (Note: This seems poorly worded — probably means “children” as in elementary/young students.)

Solution:

25% of 100 = 0.25 × 100 = 25

✔ Answer: 25

*(Assuming “children” means young students — though wording is odd.)*

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Problem 9:

> Michelle has saved $500 in expenses over the past 6 months. If she saves the same amount each month, how much does she save per month?

Solution:

Not a percent problem — simple division.

→ 500 ÷ 6 ≈ $83.33 per month

✔ Answer: $83.33

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Problem 10:

> Little Johnny found a large rock that weighed 10 pounds. He thought the rock was worth 10% of its weight in dollars. How much did he think the rock was worth?

Solution:

10% of 10 pounds = 0.10 × 10 = $1

✔ Answer: $1

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## ✔ Final Answers Summary:

1. 20%
2. $3.46
3. $100
4. $3,240
5. 8 miles
6. 10%
7. $60
8. 25
9. $83.33
10. $1

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## 📝 Notes:
- Problems 2, 9, and 10 are not strictly percent problems — they involve basic arithmetic.
- Problem 6 is tricky — it hinges on interpreting “these students make up 10% of the entire school” as referring to the *passing* students.
- Problem 8’s wording (“female students are children”) is ambiguous — we assumed it meant “25% of female students are young/elementary students.”

If you’d like me to re-check any problem or clarify further, just let me know!