Question

Amara currently sells

televisions for company A at a

salary of $\backslash (17,000$plus a$\backslash )100$

commission for each television

she sells. Company B offers her a

position with a salary of $\backslash (29,000$

plus a $\backslash )20$commission for each

television she sells. How

televisions would Amara need to

sell for the options to be equal?

Short answer

Amara need to sell$150$televisions.

Step-by-step solution

Step 1. Given

For company $A$, salary is $\$17,000$with commission $\$100$

For company$B$, salary is$\$29,000$with commission$\$20$

Step 2. Calculation

Let the number of televisions is $x$

For company $A$, $\$17,000+\$100x$

For company $B$, $\$29,000+\$20x$

According to the question,

$$\begin{gathered} \$17,000+\$100x=\$29,000+\$20x \\ 100x-20x=29000-17000 \\ 80x=12000 \\ x=150 \end{gathered}$$

Therefore Amara needs$150$televisions.