SOLUTION: Hans paid $1.50 ea. For programs to the game. He sold all but 20 of them for $ 3.00 ea. and made a profit of $15. How many programs did he buy? ( hint: profit= selling price- purch

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Hans paid $1.50 ea. For programs to the game. He sold all but 20 of them for $ 3.00 ea. and made a profit of $15. How many programs did he buy? ( hint: profit= selling price- purch      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1095574: Hans paid $1.50 ea. For programs to the game. He sold all but 20 of them for $ 3.00 ea. and made a profit of $15. How many programs did he buy? ( hint: profit= selling price- purchase price)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x = number of programs that Hans bought
profit per program = selling price - purchase price
profit per program = 3.00 - 1.50
profit per program = 1.50 dollars
--------------------------------------
If Hans sold all x programs, then he would make a profit of 1.50*x dollars; however, he "sold all but 20 of them" meaning that he actually sold x-20 programs. He sold them at a profit of 1.50 dollars per program

The total profit expression is
1.50*(x-20)
1.50*x + 1.50*(-20)
1.50x-30

This expression is then set equal to 15 (because the given total profit is $15). Now solve for x

1.50x-30 = 15
1.50x-30+30 = 15+30
1.50x = 45
1.50x/1.50 = 45/1.50
x = 30

So Hans bought 30 programs (he was able to sell 10 of them; 10*1.50 = 15 dollars total profit)