Question

At a special sale, all pens are sold at one price and all pencils at another price.If 3 pens and 2 pencils are sold for 47 cents while 2 pens and 3 pencils are sold for 38 cents what is the cost of a set of one pen and one pencil in cents?

Answer 1

3 pen + 2 pencil = .47
2 pen + 3 pencil = .38

 2(3pen + 2 pencil = .47)
-3(2pen + 3 pencil = .38)

 6 pen + 4 pencil = .94
-6 pen - 9 pencil = -1.14
            - 5 pencil = -.2
                 pencil = .04

3pen + 2(.04) = .47
3pen + .08 = .47
3 pen + .08 - .08 = .47 -.08
3 pen = .39
pen = .13

Pen = 13 cents and pencil = 4 cents