Answer:
pencils cost 12 cents each, and pens cost 30 cents each.
Explanation:
Let x = the cost of one pencil and y = the cost of one pen. Then we have:
4x+%2B+2y+=+1.08 and
6x+%2B+5y+=+2.22
Let's multiply both sides of the first equation by 3 to get
12x+%2B+6y+=+3.24
And let's multiply both sides of the second equation by 2 to get
12x+%2B+10y+=+4.44
Now let's subtract the first equation from the second:
12x+%2B+10y+-+12x+-+6y+=+4.44+-+3.24
4y+=+1.20
y+=+0.30
Now, let's substitute 0.30 for y in the first equation:
4x+%2B+2%280.30%29+=+1.08
4x+%2B+0.60+=+1.08
Subtract 0.60 from both sides:
4x+%2B+0.60+-0.60+=+1.08+-+0.60
4x+=+0.48
x+=+0.12
So pencils cost 12 cents each, and pens cost 30 cents each.