Yumi wants to make 12 cups of party mix using candies and nuts her budget require the party mix to cost her $1 29 per cup. The c

Question

3 months ago

7

andies are $ 2.49 per cup and nuts are 0.69 per cup how many cups of candiez and how many cups of nuts

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-03-03T15:57:36+03:00

Answer:

According to the problem,

Cost for each cup = $1.29

Overall cups = 12

Total expense for the cups = 12 x 1.29 = $15.48

Candy cost = $2.49 per cup

Overall candy cups = x

Nut cost = $0.69 per cup

Overall nut cups = y

Equations:

x + y = 12 (since the total cups of nuts and candies must equal 12)

2.49x + 0.69y = 15.48 (the total expense for the 12 cups equals 15.48)

Step 1: Express x in terms of y

x = 12 - y

Step 2: Substitute x in terms of y from step 1 into the second equation

2.49x + 0.69y = 15.48

2.49 (12 - y) + 0.69y = 15.48

29.88 - 2.49y + 0.69y = 15.48

-1.8y = -14.4

y = 14.4/1.8

y = 8

Step 3: Determine x

x + y = 12

x = 12 - y

x = 12 - 8

x = 4

Thus, Yumi needs 4 cups of candy and 8 cups of nuts.

I hope this is useful to you