A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax, and x represents the original price of the item.

C = 0.765x + 0.06(0.765x)

Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale?

Question

A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax, and x represents the original price of the item.

C = 0.765x + 0.06(0.765x)

Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale?

anonymous · Answer

$81.09

paxpolaris · Answer

$$C = 0.765x + 0.06\left( 0.765x \right) $$$$=1.06 \times \left( 0.765\times x \right)$$$$=1.06\times 0.765 \times 100$$$$=106\times0.765$$
$$\huge \begin{matrix}\ \ \ \ 0.765 \ \times\ \ \ 106 \ \overline{\ \ \ 4590}\ 765\ \ \ \ \overline{\ 81.090}\end{matrix}$$