SOLUTION: Hann paid $1.50 each for programs to the game, he sold all but 20 of them for $3 dollars each and made a profit of $15. how many programs did he buy?

Question 162893: Hann paid $1.50 each for programs to the game, he sold all but 20 of them for $3 dollars each and made a profit of $15. how many programs did he buy?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Hann paid $1.50 each for programs to the game, he sold all but 20 of them for $3 dollars each and made a profit of $15. how many programs did he buy?
:
Let x = number he bought
then
(x-20) = number he sold
:
Cost = 1.50x
Revenue = 3(x-20)
:
Revenue - cost = profit ($15)
3(x-20) - 1.5x = 15
:
3x - 60 - 1.5x = 15
:
3x - 1.5x = 15 + 60
:
1.5x = 75
x =
x = 50 programs he bought
:
:
Check our solutions (no. sold: 50-20=30)
3(30) - 1.5(50) =
90 - 75 = 15
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