SOLUTION: Susan wants to have business cards printed. One style will cost $25 plus 2 cents per card. Another style will cost $10 plus 5 cents per card. For how many cards will the cost be th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Susan wants to have business cards printed. One style will cost $25 plus 2 cents per card. Another style will cost $10 plus 5 cents per card. For how many cards will the cost be th      Log On


   

Question 37670This question is from textbook
: Susan wants to have business cards printed. One style will cost $25 plus 2 cents per card. Another style will cost $10 plus 5 cents per card. For how many cards will the cost be the same for both styles? This question is from textbook

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of cards to be printed.
Then change the facts in the problem into an algebraic equation...
25 + .02x = 10 + .05x
Now multiply all by 100 to clear the decimals...
2500 + 2x = 1000 + 5x
Subtract 1000 from both sides
1500 + 2x = 5x
Now subtract 2x and then divide by 3...
1500 = 3x
x = 500 cards