Question

last year, sales associate taras sales, t, were 12.5 thousand more dollars than her coworker alexs sales, a. the two sales associates sold a total of 129.5 thousand dollars worth of merchandise. which system of equations could be used to determine the amount of merchandise each sales associate sold?
1
\\(\

$$\begin{cases} t - a = 129.5 \\\\ t + a = 12.5 \\end{cases}$$

\\)
2
\\(\

$$\begin{cases} t + a = 12.5 \\\\ t - a = 129.5 \\end{cases}$$

\\)
3
\\(\

$$\begin{cases} t + a = 129.5 \\\\ a - 12.5 = t \\end{cases}$$

\\)
4
\\(\

$$\begin{cases} t + a = 129.5 \\\\ t - 12.5 = a \\end{cases}$$

\\)

Explanation:

Step1: Translate Tara's sales relation

$t = a + 12.5$ which rearranges to $t - 12.5 = a$

Step2: Translate total sales relation

$t + a = 129.5$

Answer:

1. $t + a = 129.5$

$t - 12.5 = a$