Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys. Find the number of peaches and grapefruit.

p + g = 2.5

1.58p + 1.09g = 3.46

p + g = 2.5

1.58p + 1.09g = 3.46

p = -g + 2.5 {subtracted g from each side of first equation}

1.58(-g + 2.5) + 1.09g = 3.46 {substituted -g + 2.5, in for p, into second equation}

-1.58g + 3.95 + 1.09g = 3.46 {used distributive property}

-0.49g + 3.95 = 3.46 {combined like terms}

-0.49g = -0.49 {subtracted 3.95 from each side}

g = 1 {divided each side by -0.49}

p = -1 + 2.5 {substituted 1, in for g, into p = -g + 2.5A}

p = 1.5 {added}

1.58(-g + 2.5) + 1.09g = 3.46 {substituted -g + 2.5, in for p, into second equation}

-1.58g + 3.95 + 1.09g = 3.46 {used distributive property}

-0.49g + 3.95 = 3.46 {combined like terms}

-0.49g = -0.49 {subtracted 3.95 from each side}

g = 1 {divided each side by -0.49}

p = -1 + 2.5 {substituted 1, in for g, into p = -g + 2.5A}

p = 1.5 {added}

**1 grapefruit and 1.5 peaches**{but not sure how you can by half a peach}__Ask the House__