SOLUTION: Fax paper cost $17 per case and copier paper $11 per case.If an order is received for a total of 250 cases for $3,650, what is the exact number of cases of copier paper?

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Question 280174: Fax paper cost $17 per case and copier paper $11 per case.If an order is received for a total of 250 cases for $3,650, what is the exact number of cases of copier paper?
Found 3 solutions by solver91311, stanbon, JBarnum:
Answer by solver91311(24713)   (Show Source):
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Let represent the number of cases of FAX paper. Let represent the number of cases of copier paper.

Then:

Just solve the system. Hint: Multiply the first equation by -11 then add the two equations to eliminate the -variable.

John

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Fax paper cost $17 per case and copier paper $11 per case.If an order is received for a total of 250 cases for $3,650, what is the exact number of cases of copier paper?
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Equations:
Quantity Eq::: f + c = 250 cases
Value Eq:::::17f + 11c = 3650 dollars
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Multiply thru 1st equation by 17 to get:
17f + 17c = 17*250
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Subtract that from the Value Equation and solve for "c":
-6c = -600
c = 100 (# of cases of copier paper)
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Cheers,
Stan H.

Answer by JBarnum(2146)   (Show Source):
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F=Fax paper cases
C=Copier paper cases
so
so if 1F=$17 and 1C=$11
then $17 times F =cost of total fax paper cases and $11 times C = cost of total copier paper cases, so:

substitute for and solve for