Answer:
(a) 14.21 = 0.80<em>x</em> + 0.11 (0.80<em>x</em>)
(b) The original price of the t-shirt was $16.
Step-by-step 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 $<em>x</em>.
The discounted amount would be, x ( 1 - 0.20) = 0.80<em>x</em>.
The sales tax amount would be, 0.11 (0.80<em>x</em>).
Then the total amount paid by Marvin can be represented by the equation:
Total = Discounted amount + Sales tax amount
14.21 = 0.80<em>x</em> + 0.11 (0.80<em>x</em>)
Thus, the equation that can be used to find the original price of the t-shirt is:
14.21 = 0.80<em>x</em> + 0.11 (0.80<em>x</em>)
(b)
Compute the value of <em>x</em> as follows:
Thus, the original price of the t-shirt was $16.