Question

1) A home improvement store sold wind chimes for w dollars each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 6% was applied after the discount. Write an algebraic expression to represent the final price of the wind chime.

Answer 1

Explanation:

The original price of the wind chimes at the home improvement store is $w.

A customer signed up for a free membership card and received a 5% discount off the price. The value of the discount is

5/100 × w = 0.05w

The discounted price would be

w - 0.05w = 0.95w

Sales tax of 6% was applied after the discount. The amount of sales tax applied would be

6/100 × 0.95w = 0.057w

The algebraic expression to represent the final price of the wind chime is

0.95w + 0.057w

= 1.007w