SOLUTION: If 10 pens and 15 markers cost $26, and 5 of the same pens and 10 of the same markers cost $16, find the cost of a pen.

Question 107541: If 10 pens and 15 markers cost $26, and 5 of the same pens and 10 of the same markers cost $16, find the cost of a pen.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is a 2 linear equations in 2 variables problem. Let p be the cost of a pen and m be the cost of a marker.

Eq 1) and

Eq 2)

Multiply Eq 2) by -3 and Eq 1) by 2

Eq 3)
Eq 4)

Then add 3) to 4) term by term:

And pens cost 80 cents.

To check the answer, plug the 80 cents into Eq 1 or 2 to determine that markers cost $1.20, then

Check.

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