SOLUTION: The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, wha

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, wha      Log On


   

Question 844457: The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain.
3/4 (0.7c) = 42

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes.
The original price is c.
30% mark down means, your cost is now c%281-30%2F100%29=c%281-0.3%29=0.7c
The 25% off coupon works the same way. 0.7c%281-25%2F100%29=0.75%280.7c%29=%283%2F4%29%280.7c%29
So if you paid $42 for it.
%283%2F4%29%280.7%29c=42
To find c,
c=%2842%284%2F3%29%29%2F%280.7%29
Work that out and you'll have the original price.