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?

Question

Avery Alexander · Accepted Answer

See a solution process below:

The formula for determining Peter's yearly salary is: #y = bm + sc# 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 #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)#

Avery Alexander · Answer

undefined Peter's yearly sales were $125,000.