SOLUTION: Suppose you own a card shop. You buy one line of cards at a rate of 4 cards for $5. You plan to sell the cards at a rate of 3 cards for $5. How many cards must you sell in order to

Question 159912This question is from textbook
: Suppose you own a card shop. You buy one line of cards at a rate of 4 cards for $5. You plan to sell the cards at a rate of 3 cards for $5. How many cards must you sell in order to make a profit of $100. This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose you own a card shop. You buy one line of cards at a rate of 4 cards for $5. You plan to sell the cards at a rate of 3 cards for $5. How many cards must you sell in order to make a profit of $100.
:
Let x = no. of cards required to make $100 profit
:
Cost = (5/4)x
Revenue = (5/3)x
:
Revenue - cost = Profit
(5/3)x - (5/4)x = 100
Multiply equation by 12 to get rid of the denominators; results:
4(5x) - 3(5x) = 12(100)
20x - 15x = 1200
:
5x = 1200
x =
x = 240 cards need to be sold
:
:
Check solution: (5/3)240 - (5/4)240 = 100

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