SOLUTION: In a store, a 40% discount was applied to the price P of an item. In another store, a 50% discount was applied to the price Q of the same item. In both stores the final price after

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Question 1190847: In a store, a 40% discount was applied to the price P of an item. In another store, a 50% discount was applied to the price Q of the same item. In both stores the final price after applying the discount was $18. What is the difference, in dollars, between prices P and Q?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

P and Q are the original prices before the 40% and 50% discount respectively.

If you save 40%, then you pay the remaining 60%
0.60P = price after discount
0.60P = 18
P = 18/0.60
P = 30

If you save 50%, then you pay the remaining 50%
0.50Q = 18
Q = 18/0.50
Q = 36

The difference between the original prices is Q-P = 36-30 = 6 dollars