mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent…

mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. instead of receiving money, mindy would like a $12 pizza, including 5 percent sales tax. is this a fair trade? explain how to find the solution.

mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. instead of receiving money, mindy would like a $12 pizza, including 5 percent sales tax. is this a fair trade? explain how to find the solution.

Answer

Explanation:

Step1: Calculate Mindy's net - pay

The shop takes a 15% commission on the $15 art - piece sale. So the amount Mindy gets is $(1 - 0.15)\times15$. $(1 - 0.15)\times15=0.85\times15 = 12.75$

Step2: Calculate the pre - tax price of the pizza

Let the pre - tax price of the pizza be $x$. We know that $x+0.05x = 12$, which means $1.05x = 12$. Then $x=\frac{12}{1.05}\approx11.43$

Answer:

Yes, it is a fair trade. Mindy's net pay from the art sale is $12.75$ and the pre - tax value of the $12$ pizza (including 5% sales tax) is approximately $11.43$. Since $12.75>11.43$, Mindy is getting a good deal.