hans paid $1.50 each for programs to the game. he sold all but 20 of them for $3 each and made a profit of $15. how many programs did he buy?
2007-02-07 15:38:49 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(n - 20 )3 - 1.5n = 15
3n - 60 - 1.5n = 15
1.5n = 75
n = 50
2007-02-07 15:44:58 · answer #1 · answered by wild_turkey_willie 5 · 0⤊ 0⤋
For the 20 unsold program, it would cost $1.50x20=$30
For each program sold, there is a profit of $3-$1.50=$1.50
In order to have a overall profit of $15, the profit for the sold program got to be $15+$30 (cost of unsold program), that is $45.
A program is sold at a profit of $1.50, thus in order to have overall $45 profit, u need to sold 30 program ($45/$1.50)
30 sold program + 20 unsold program = 50 Program
2007-02-07 16:46:11 · answer #2 · answered by sleeping_beauty1976 2 · 0⤊ 0⤋
Let the no. of programs hans bought be X
now he spent 1.50 * X
He earned (X - 20) * 3
Now profit = Money earned - Money spent
So, 15 = (X - 20) * 3 - 1.5 * X
=> 15 = 3X - 60 -1.5X
=> 75 = 1.5X
=> X = 75/1.5
=> X = 750/15 = 50(Answer)
2007-02-07 15:52:39 · answer #3 · answered by Rainmaker 2 · 0⤊ 0⤋
30
2007-02-07 15:50:33 · answer #4 · answered by joeanswerer 2 · 0⤊ 0⤋
1.50X +15 = 3(X-20)
1.50X + 15 = 3X - 60
15 = 1.50X - 60
75 = 1.50X
50 = X
2007-02-07 15:44:02 · answer #5 · answered by MATHMANRET 2 · 0⤊ 0⤋