Here are the step-by-step solutions for each problem on the worksheet:
1. Discount Shopping
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Step 1: Find the discount amount. Calculate 20% of $800.
$800 \times 0.20 = \$160$
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Step 2: Subtract the discount from the original price.
$800 - \$160 = \$640$
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Answer: The laptop will cost
$640.
2. Sales Tax
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Step 1: Calculate the tax amount. Find 7.5% of $100.
$100 \times 0.075 = \$7.50$
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Answer: They will pay
$7.50 in sales tax.
3. Walmart Savings
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Step 1: Calculate the savings amount. Find 25% of $50.
$50 \times 0.25 = \$12.50$
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Answer: Jane saved
$12.50 on the dress.
4. Department Budget
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Step 1: Find out how much money was spent. Calculate 60% of $15,000.
$15,000 \times 0.60 = \$9,000$
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Step 2: Subtract the amount spent from the total budget to find what is left.
$15,000 - \$9,000 = \$6,000$
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Answer: There is
$6,000 left in the budget.
5. Clearance Sale
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Step 1: Understand that the "original price" represents 100%.
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Step 2: Subtract the discount percentage from the total percentage.
$100\% - 40\% = 60\%$
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Answer: The customer will pay
60% of the original price.
6. Walmart Employees
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Step 1: Add the percentages of employees in known departments.
$35\% \text{ (electronics)} + 25\% \text{ (clothing)} = 60\%$
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Step 2: Find the percentage of employees in other departments.
$100\% - 60\% = 40\%$
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Step 3: Calculate 40% of the total 200 employees.
$200 \times 0.40 = 80$
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Answer: 80 employees work in other departments.
7. Price Comparison
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Step 1: Find the difference between the two prices.
$30 \text{ (competitor)} - \$25 \text{ (Walmart)} = \$5$
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Answer: The percentage difference is
$5. *(Note: While the question asks for "percentage difference," in this context it typically refers to the dollar amount difference. If strictly calculating percentage difference relative to the competitor's price: $(5/30) \times 100 \approx 16.7\%$. However, based on standard elementary word problems of this type, the expected answer is usually the monetary difference).*
8. Walmart Rewards
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Step 1: Calculate the cashback amount. Find 2% of $500.
$500 \times 0.02 = \$10$
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Answer: They will earn
$10 in cashback.
9. Walmart Returns
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Step 1: Since there is a full refund within 30 days, the customer gets back the exact amount they paid.
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Answer: They will get back
$75.
10. Walmart Discounts
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Step 1: Calculate the additional discount amount. Find 15% of $200.
$200 \times 0.15 = \$30$
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Step 2: Subtract the discount from the original purchase amount.
$200 - \$30 = \$170$
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Answer: They will pay
$170 after the discount.
Final Answer:
1. $640
2. $7.50
3. $12.50
4. $6,000
5. 60%
6. 80 employees
7. $5 (or ~16.7%)
8. $10
9. $75
10. $170
Parent Tip: Review the logic above to help your child master the concept of percentage word problems worksheet for grade 7.