SOLUTION: Use the 5 steps for problem solving to work this problem... Copy Cats charges a $21 surcharge for a batch of colored copies plus $0.15 per page. Heritage Printing charges a $25.

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Question 621061: Use the 5 steps for problem solving to work this problem...
Copy Cats charges a $21 surcharge for a batch of colored copies plus $0.15 per page. Heritage Printing charges a $25.50 Surcharge for a batch of colored copies plus $0.12 per page. How many pages of colored copies would make Heritage Printing chearer than Copy Cats?
This is the most confusing problem I think I have had in this class so far...can someone please take the time to help me...PLEASE!!!!!
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
I don't know what 5 step process your teacher or book advocates, but when working word problems translate the words into math. This problem defines two situations, so define and write each as math.


Call the number of copies x.
Copy Cats charges a flat fee of $21 plus $.15 per page for a batch of color prints. That's 21 + .15x.


Heritage charges a flat fee of $25.50 plus .12 per page. That's 25.5 + .12x.


The problem asks to identify when Heritage is cheaper, or less than, Copy Cats. So it's 25.5 + .12x < 21 + .15x. Solve for x. Subtract 21 from both sides and .12x from both sides.


4.5 < .03x | Divide both sides by .03.


150 < x

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)