Question

A student received a coupon for 14% off the total purchase price at a clothing store. let b be the original price of the purchase. use the expression c - 0.14c for the new price of the purchase. write an equivalent expression to show another way to represent the new price.

Answer 1

The equivalent expression to show another way to represent the new price is b - 0.86b = c .

Explanation:

Given that the original price of the purchase is b and the coupon gives a 14% discount, the new price of the purchase is given by:

c = b - 0.14b

To write an equivalent expression, we can multiply both sides of the equation by 100% - 14% to simplify:

c * 100% = b * 100% - 0.14b * 100%

c * 100% = b * (100% - 14%)

c * 100% = b * 86%

c = b * 86%

So, another way to represent the new price of the purchase is c = b * 86%.