a bicycle store is closing out its entire stock of a certain

a bicycle store is closing out its entire stock of a certain brand of three-speed and ten-speed models. The profit on a three-speed bicycle is 11% of the sale price, and the profit on a ten-speed model is 22% of the sale price. If the entire stock is sold for $16,000 and the profit on the entire stock is 19%, how much is obtained from the sale of each type of bicycle.

Solution

Let $x be the sae from 3 speed bicycle

Profit from 3 speed bicycle ----> 0.11x

Let $y be the sale from10 speed bicycle

Profit from 10 speed bicycle ----> 0.22y

x +y = 16000 -------(1)

0.11x + 0.22y = 0.19*16000

0.11x + 0.22y = 3040 ----( 2)

Solve equation 1 an 2 to get x and y values:

x= $4363.6 and y= $11636.4