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?
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} ———————— 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 Ask the House
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