Emma Lee is shopping for supplies for her science fair project. The regular price of the supplies at a hardware store is $20. The store offers a 25% discount for students. The sale... Emma Lee is shopping for supplies for her science fair project. The regular price of the supplies at a hardware store is $20. The store offers a 25% discount for students. The sales tax is 5% of the discounted price.

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Understand the Problem

The problem describes a scenario where Emma Lee is buying supplies for a science fair project. The supplies cost $20, and she gets a 25% discount. Additionally, there's a 5% sales tax on the discounted price. We need to determine the final price Emma Lee pays after the discount and tax are applied. This will require a step-by-step math solution.

Answer

$15.75
Answer for screen readers

$15.75

Steps to Solve

  1. Calculate the discount amount The discount is 25% of $20. $$ Discount = 0.25 \times 20 = 5 $$ So, the discount amount is $5.

  2. Calculate the discounted price Subtract the discount from the original price. $$ Discounted,price = 20 - 5 = 15 $$ The discounted price is $15.

  3. Calculate the sales tax amount The sales tax is 5% of the discounted price, $15. $$ Sales,tax = 0.05 \times 15 = 0.75 $$ So, the sales tax amount is $0.75.

  4. Calculate the final price Add the sales tax to the discounted price. $$ Final,price = 15 + 0.75 = 15.75 $$ Therefore, the final price Emma Lee pays is $15.75.

$15.75

More Information

The problem involves calculating a discount and then adding sales tax. This type of calculation is frequently encountered in everyday shopping scenarios.

Tips

A common mistake is to calculate the sales tax on the original price instead of the discounted price. Always remember to apply the sales tax after any discounts. Another mistake is miscalculating percentage values.

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