SOLUTION: I would really appreciate any help with this problem. Photo reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling.

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Question 230709: I would really appreciate any help with this problem. Photo reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail order?
Note: The question is asking for > not =>
Found 2 solutions by checkley77, josmiceli:
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website!
.52X>.44X+1.20
.52X-.44X>1.20
.08X>1.20
X>1.20/.08
X>15
ANSWER: 16 PRINTS @ $.52 WILL COST MORE THAN THE MAIL ORDER PURCHASE.
PROOF:
.52*16>.44*16+1.20
8.32>7.04+1.20
8.32>8.24

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let the number of reprints =
Let cost =
Local photo shop:
(in cents)
Through mail:

When is th3e cost of the reprints through the mail less?

Subtract from both sides

Divide both sides by

Or, writing it in the other direction,

mail order is less expensive if 16 reprints are ordered
check:
what is each way for 15 reprints?

and

OK
Now check each way for 16 reprints