SOLUTION: Maria paid 80 cents each for some packages of cards. She sold all but 18 packages for $2 each, making a profit of $48. How many packages of cards did she buy?

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Question 238331: Maria paid 80 cents each for some packages of cards. She sold all but 18 packages for $2 each, making a profit of $48. How many packages of cards did she buy?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Maria paid 80 cents each for some packages of cards.
She sold all but 18 packages for $2 each, making a profit of $48.
How many packages of cards did she buy?
:
Let x = no. of pkg of cards bought
:
Cost of the cards
c = .80x
:
Revenue from sale of cards
r = 2(x-18)
:
rev - cost = profit
2(x-18) - .8x = 48
:
2x - 36 - .8x = 48
:
2x - .8x = 48 + 36
:
1.2x = 84
x = 84%2F1.2
x = 70 pkg of cards
:
:
Is this true?
2(52) - .8(70)
104 - 56 = 48