Question

A store is offering 20% off all shoes. Rosalie purchases shoes and clothes.

The expression representing her total cost (including 7% tax) is
c+ (1 - 0.2)s + 0.07[c+ (1 - 0.2)s). Which term represents the cost of the
shoes after the discount?

Answer 1

(1 - 0.2)s.

Explanation:

It is given that a store is offering 20% off all shoes. Rosalie purchases shoes and clothes.

The expression representing her total cost (including 7% tax) is

c + (1 - 0.2)s + 0.07[c+ (1 - 0.2)s].

Here,

c = Cost of clothes

s = Cost of shoes

(1 - 0.2)s = cost of the shoes after the 20% discount.

0.07[c+ (1 - 0.2)s] = Amount of tax on total purchase of shoes and clothes.

Therefore, (1 - 0.2)s term represents the cost of the shoes after the discount.