Question

Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How many ounces of nuts and how many ounces of raisins does he need to make 24 ounces of party mix? Use the graph to solve the system of equations you develop, then enter your solution below.

a) Nuts: 12 oz, Raisins: 6 oz
b) Nuts: 8 oz, Raisins: 16 oz
c) Nuts: 10 oz, Raisins: 14 oz
d) Nuts: 14 oz, Raisins: 10 oz

Answer 1

Enrique needs 14 ounces of nuts and 10 ounces of raisins to make 24 ounces of party mix.

Step-by-step explanation:

To solve this problem, we can set up a system of equations based on the given information. Let N represent the number of ounces of nuts, and let R represent the number of ounces of raisins. We know that Nuts:Raisins is a 1:2 ratio, and together they make 24 ounces of party mix. So, we have the equations:

N + R = 24 (equation 1)

N = 2R (equation 2)

To solve the system of equations, we can substitute equation 2 into equation 1:

2R + R = 24

3R = 24

R = 8

Substituting the value of R back into equation 2:

N = 2(8)

N = 16

Therefore, the number of ounces of nuts needed is 16, and the number of ounces of raisins needed is 8. The correct answer is d) Nuts: 14 oz, Raisins: 10 oz.