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:
[tex]x+y=1.10[/tex]If you bought two small packages of gum and one large package of gum, they would cost $1.45. so:
[tex]2x+y=1.45[/tex]Let:
[tex]\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}[/tex]one small package of gum costs $0.35 and one large package of gum costs $0.75
