Question

Use a system of equations to solve this problem.

Julie needs 8 ounces of snack mix that is made up of seeds and dried fruit. The seeds cost $1.25 per ounce and the dried fruit costs $2.25 per ounce. The 8 ounce snack mix costs $2.00 per ounce.

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

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


A:6 ounces of seeds and 2 ounces of dried fruit


B:2 ounces of seeds and 6 ounces of dried fruit


C:5 ounces of seeds and 3 ounces of dried fruit


D:3 ounces of seeds and 5 ounces of dried fruit

Answer 1

A system is:
1.25 x + 2.25 y = 16
x + y = 8
---------------------------
y = 8 - x
1.25 x + 2.25 * ( 8 - x ) = 16
1.25 x + 18 - 2.25 x = 16
- x = 16 - 18
- x = - 2
x = 2
y = 8 - 2
y = 6
Answer:
B ) 2 ounces of seed and 6 ounces of dried fruit.