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?

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

No, Jackie is incorrect.

Step-by-step explanation:

Assume Jackie's statement true that "if a solid figure cannot roll then it has faces."

But there are two solid figures cylinder which has 3 faces (1 curved and 2 base faces) and cone which has 2 faces (1 curved and 1 base face), and both cylinder and cone can roll.

Thus it does not mean that if a solid shape can not roll then it  has faces.

Cylinder and cone are solid figures which can roll and faces.

Therefore, Jackie is incorrect.