SOLUTION: 4 pencils and 2 pens cost $1.08 6 pencils and 5 pens cost $2.22 find the cost of each pen and pencil

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Question 25975: 4 pencils and 2 pens cost $1.08 6 pencils and 5 pens cost $2.22 find the cost of each pen and pencil

Found 2 solutions by tran3209, kevwill:
Answer by tran3209(100) (Show Source):
You can put this solution on YOUR website!
First you can find the cost of each pen using the given information: 5 pens cost $2.22.
=
So now we know each pen cost $0.44.
Now since they purchased 4 pencils and 2 pens and recieved a total of $1.08, we will find the cost of each pencil.
Suppose the cost of pencils is "x".
The 2(0.44) is the cost of 2 pens @ $0.44 each.

<---- Subtract 0.88 from each side.

The Answer: (1) Pen cost $0.88
(1) Pencil cost $0.05

Answer by kevwill(135) (Show Source):
You can put this solution on YOUR website!
I think the original solver got this one wrong.

Let x = the cost of one pencil and y = the cost of one pen. Then we have:
and

Let's multiply both sides of the first equation by 3 to get

And let's multiply both sides of the second equation by 2 to get

Now let's subtract the first equation from the second:

Now, let's substitute 0.30 for y in the first equation:

Subtract 0.60 from both sides:

So pencils cost 12 cents each, and pens cost 30 cents each.