SOLUTION: Liann bought several apples at the rate of 3 for 35 cents. She sold 9/10's of them at 25 cents each, making a profit of $6.50. How many apples did she fail to sell? PLESAE HELP!!!!

Question 122109This question is from textbook Algebra: structure and method: Book 1
: Liann bought several apples at the rate of 3 for 35 cents. She sold 9/10's of them at 25 cents each, making a profit of $6.50. How many apples did she fail to sell? PLESAE HELP!!!!!!!!! The answer is 6 apples, but I do not know how to get there. HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! This question is from textbook Algebra: structure and method: Book 1

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Liann bought several apples at the rate of 3 for 35 cents. She sold 9/10's of them at 25 cents each, making a profit of $6.50. How many apples did she fail to sell?
:
Let's find out how many apples she started with
x = no. of apples bought
:
total cost (in cents) of the apples she bought = x
:
No. of apples she sold = x
:
Revenue (in cents) from the apples
R = x * 25
R = x
:
Find x using the profit equation (Revenue - Cost)
x - x = 650 cents
x x = 650; using 30 as the common denominator
x = 650
x = 650 * ; when dividing, invert the dividing fraction and mult
x = 60 apples bought originally
:
She sold *60 = 54 apples, leaving 6 apples unsold
:
:
Check solution by finding the profit
Sold 54 * 25 = 1350 cents
Bought60* = 700 cents
--------------------------
Difference = 650 cents or $6.50

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