SOLUTION: A grocer buys apples at 12 dollars per kilogram.Unfrotunately he has too many so he sells them for 10.50 dollars per kilogram a) calculate the percantage loss his total loss was

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A grocer buys apples at 12 dollars per kilogram.Unfrotunately he has too many so he sells them for 10.50 dollars per kilogram a) calculate the percantage loss his total loss was       Log On


   

Question 753103: A grocer buys apples at 12 dollars per kilogram.Unfrotunately he has too many so he sells them for 10.50 dollars per kilogram
a) calculate the percantage loss
his total loss was 300 dollars
b) how many kilograms of apples did he buy
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = kilograms of apples bought at 12 dollars per kg.
Cost was p*12 dollars.
Revenue was p*10.50 dollars.

Seeing that profit is Revenue minus Cost, this "profit" is 10.50p-12p%3C0 because we know this is really a LOSS. The loss is 300 dollars. The absolute value will not be a complication. We can use highlight%2810.50p-12p=-300%29 if we want. We just solve for p, the kilograms of apples the grocer bought.

%2812-10.5%29p=300
p=300%2F%2812-10.5%29