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.
