Question

There is a special sale on all regularly priced items (x) at a clothing store. All items are on sale for 20% off the regular price. A shopper has a coupon for an extra 10% off the discounted price.

Answer 1

The question involves applying a 20% store discount and an extra 10% coupon discount to an item's original price x. First, calculate the store discounted price as 80% of x, and then apply the coupon discount by calculating 90% of the discounted price for the final amount.

Step-by-step explanation:

The student is asking about how to calculate the final price of an item after applying both a store sale discount and an additional coupon discount. We are dealing with a piece of clothing initially priced at x dollars. The store offers a 20% discount on this regular price. After this discount is applied, the shopper can use a coupon for an extra 10% off the discounted price. To solve this, we first calculate the sale price after the 20% discount by multiplying the original price x by 80% (or 0.8). Let's denote this discounted price as y. Next, we take the discounted price y and apply the extra 10% coupon discount by multiplying y by 90% (or 0.9) to find the final price the shopper has to pay.

Here is the step-by-step calculation:

1. Calculate the store discount price: y = x × 0.8.
2. Calculate the final price with the additional coupon discount: Final Price = y × 0.9

By following these two steps, the shopper can determine the total amount they would have to pay for the item after all discounts are applied.