Question

6 ms. wong sold 28 cars. she sold 8 fewer cars than \\(\frac{3}{4}\\) as many cars as mr. diaz. which equation can be used to find the number of cars that mr. diaz sold, c? \\(\boldsymbol{\text{a } \frac{3}{4}c - 8 = 28}\\) \\(\boldsymbol{\text{b } 8c - \frac{3}{4} = 28}\\) \\(\boldsymbol{\text{c } \frac{3}{4}c - 8c = 28}\\) \\(\boldsymbol{\text{d } 8 - \frac{3}{4}c = 28}\\)

Explanation:

Step1: Define variable for Mr. Diaz's cars

Let \(c\) = number of cars Mr. Diaz sold.

Step2: Calculate 3/4 of Mr. Diaz's cars

$\frac{3}{4}c$

Step3: Subtract 8 (8 fewer cars)

$\frac{3}{4}c - 8$

Step4: Set equal to Ms. Wong's sales

$\frac{3}{4}c - 8 = 28$

Answer:

A. $\frac{3}{4}c - 8 = 28$