# Peter works at Best-buy. He receives 2% of his total sales plus a monthly salary of $2100. What were his yearly sales if he earned$26 040?

May 29, 2018

See a solution process below:

#### Explanation:

The formula for determining Peter's yearly salary is:

$y = b m + s c$ Where:

$y$ is the yearly salary: $26,040 for this problem. $b$is the base monthly salary:$2,100 for this problem.

$m$ is the number of months worked: 12 for this problem (1 year)

$s$ is the amount of sales: What we are solving for in this problem.

$c$ is the commission rate. 2% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 2% can be written as $\frac{2}{100}$.

Substituting and solving for $s$ gives:

$26040 = ($2100 * 12) + (s * 2/100)

$26040 =$25200 + 2/100s

$26040 - color(red)($25200) = $25200 - color(red)($25200) + 2/100s

$840 = 0 + 2/100s $840 = 2/100s

color(red)(100)/color(blue)(2) xx $840 = color(red)(100)/color(blue)(2) xx 2/100s ($84000)/color(blue)(2) = cancel(color(red)(100))/cancel(color(blue)(2)) xx color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(100)))s

$42000 = s s =$42000

Peter's yearly sales were color(red)(\$42,000)