Q 82 - Intermediate Algebra

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?

Step-by-Step Solution

Answer

Amara need to sell $150$ televisions.

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.