How much of each snack should Hunter purchase to satisfy the scenario?

Hunter needs 10 oz of a snack mix that is made up of seeds and dried fruit. The seeds cost $1.50 per ounce and the dried fruit costs $2.50 per ounce. The 10 oz snack mix costs $2.20 per ounce.

Let x = the amount of seeds.

Let y = the amount of dried fruit.

How much of each snack should Hunter purchase to satisfy the scenario?

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x = ounces of seeds
y = ounces of dried fruit

Set up a system of equations.

x + y = 10 {total ounces is 10}
1.5x + 2.5y = 10(2.2) {ounces times price per ounce equals total price}

x + y = 10
1.5x + 2.5y = 22 {multiplied 10 by 2.2 in second equation}

-1.5x - 1.5y = -15 {multiplied first equation by -1.5}
1.5x + 2.5y = 22 {second equation stays the same}
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y = 7 {added the two equations, eliminating the x’s}

x + y = 10 {first original equation}
x + 7 = 10 {substituted 7, in for x, into first original equation}
x = 3 {subtracted 7 from each side}

3 ounces of seeds and 7 ounces of fruit

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