Final answer:
When a 10% discount is applied to a $75.00 purchase, you first calculate the discount amount ($75.00 x 0.10 = $7.50), then subtract it from the original price ($75.00 - $7.50) to get the final amount paid, which is $67.50.
Step-by-step explanation:
If a store has a promotion offering 10% off purchases, and a customer buys merchandise costing $75.00, we need to calculate the discount and then subtract it from the original price to determine what the customer will end up paying (not including tax).
Firstly, we convert the percentage discount to a decimal by dividing by 100, which gives us 0.10. Next, we multiply the original cost of the merchandise by the decimal form of the discount to find out how much money is saved:
$75.00 × 0.10 = $7.50
Now, subtract the discount from the original price to get the final amount the customer pays:
$75.00 - $7.50 = $67.50
Therefore, the customer will pay $67.50 for the merchandise after applying the 10% discount.