Question

Together, one small package of gum and one large package ofgum cost $1.10. If you bought two small packages of gum and onelarge package of gum, they would cost $1.45. How much does thelarge package of gum cost?

Answer 1

Let:

x = cost of the small package of gum

y = cost of the large package of gum

Together, one small package of gum and one large package of gum cost $1.10, so:

`x+y=1.10`

If you bought two small packages of gum and one large package of gum, they would cost $1.45. so:

`2x+y=1.45`

Let:

`\begin{gathered} x+y=1.10_{\text{ }}(1) \\ 2x+y=1.45_{\text{ }}(2) \\ (2)-(1) \\ 2x-x+y-y=1.45-1.10 \\ x=0.35 \\ \text{ Replace x into (1)} \\ y=1.10-0.35 \\ y=0.75 \end{gathered}`

one small package of gum costs $0.35 and one large package of gum costs $0.75