Question

Hunter needs 10 ounces 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 ounce 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?


A. 4 ounces of seeds and 5 ounces of dried fruit


B. 5 ounces of seeds and 4 ounces of dried fruit


C. 7 ounces of seeds and 3 ounces of dried fruit


D. 3 ounces of seeds and 7 ounces of dried fruit

Answer 1

Let x = the amount of seeds.
y = the amount of dried fruit.

Systems of equation would be: x + y = 10
1.50x + 2.50y = 22

Substitute the value of x from equation 1st in equation 2nd,
1.50(10-y) + 2.50y = 22
15 - 1.50y + 2.50y = 22
y = 22-15 = 7

Substitute the value of y in 1st equation, x + 7 = 10
x = 10 - 7 = 3

In short, Your Answer would be Option D) 3 ounces of seeds and 7 ounces of dried fruit

Hope this helps!