Question

3) Marvin bought a t shirt that was on sale for 20% off. He paid $14.21. for the t-shirt including

sales tax of 11 percent. Use this information to answer questions a and b.
a Circle the equation that can be used to find the original price of the t-shirt.
(c - 20c) +.11(e - 200) – 14.21
. 11(x - 20c) = 14.21
11(22.81 - 20(14.21)) = C
116.80c) + (c - 20c) = 14.21
b. Solve the equation and interpret the solution

Answer 1

(a) 14.21 = 0.80x + 0.11 (0.80x)

(b) The original price of the t-shirt was $16.

Explanation:

The information provided are:

• Marvin bought a t shirt that was on sale for 20% off.
• He paid $14.21. for the t-shirt.
• The sales tax percent was 11%.

(a)

Assume that the original price of the t-shirt was $x.

The discounted amount would be, x ( 1 - 0.20) = 0.80x.

The sales tax amount would be, 0.11 (0.80x).

Then the total amount paid by Marvin can be represented by the equation:

Total = Discounted amount + Sales tax amount

14.21 = 0.80x + 0.11 (0.80x)

Thus, the equation that can be used to find the original price of the t-shirt is:

14.21 = 0.80x + 0.11 (0.80x)

(b)

Compute the value of x as follows:

`14.21 = 0.80x + 0.11 (0.80x)`

`14.21=0.80* 1.11* x`

`x=(14.21)/(0.80* 1.11)\\\\x=16.0023\\\\x\approx \$16`

Thus, the original price of the t-shirt was $16.