Question

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 smack should hunter purchase to satisfy the scenario?

Answer 1

Hunter needs to purchase 3 ounces of seeds and 7 ounces of dried fruit for his 10 oz mixed snack.

Step-by-step explanation:

Hunter needs to determine how much seeds and dried fruit to purchase for a 10 oz snack mix. We will create two equations based on the total cost and total weight.

Equation 1 (total weight): x + y = 10
Equation 2 (total cost): 1.50x + 2.50y = 10 × 2.20

Substituting '10 - x' for 'y' in Equation 2 gives us: 1.50x + 2.50(10 - x) = 22. After simplification, the equation becomes 1.50x + 25 - 2.50x = 22, leading to -1.00x = -3. Solving for 'x', we get x = 3 oz of seeds and y = 7 oz of dried fruit.