Q 83 - Intermediate Algebra

Question

Mitchell currently sells stoves

for company A at a salary of

$\backslash (12,000$ plus a $\backslash )150$ commission

for each stove he sells. Company B

offers him a position with a salary

of $\backslash (24,000$ plus a $\backslash )50$ commission

for each stove he sells. How many

stoves would Mitchell need to sell

for the options to be equal?

Step-by-Step Solution

Answer

Mitcheli need to sell $120$ stoves

Step 1. Given

For company A, salary is$\$12000$ with commission $\$150$

For company B, salary is $\$24,000$ with commission $\$50$

Step 2. Calculation

Let the number of stoves be $x$

For company A, $\$12000+150x$

For company B, $\$24,000+\$50x$

According to the question,

$$\begin{gathered} 12000+150x=24000+50x \\ 150x-50x=24000-12000 \\ 100x=12000 \\ x=120 \end{gathered}$$

Therefore number of stoves is $120$