Question

Yumi wants to make 12 cups of party mix using candies and nuts. Her budget requires the party mix to cost her $1. 29 per cup. The candies are $2. 49 per cup, and the nuts are $0. 69 per cup. How many cups of candies and how many cups of nuts should she use?

Answer 1

The number of cups of candies and nuts, Yumi should use is 4 and 8 cups respectively.

Let the candies be C.

Let the nuts be N.

Given the following data:

Cost of candies per cup = $2.49

Cost of nuts per cup = $0.69

Translating the word problem into an algebraic expression, we have;

For a total number of cups:

.....equation 1

For the cost of candies and nuts:

.....equation 2

From equation1:

....equation 3

Substituting Eqn 3 into Eqn 1, we have:

Number of nuts, N = 8 cups

For candies:

Number of candies, N = 4 cups

Step-by-step explanation: