A supermarket is selling two types of candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and the strawberry leaves cost $1.77 per pound. How many pounds of each should be mixed to get a 88-pound mixture that sells for $11.16?

8 pound of orange slices

5 pound of strawberry leaves.

Step-by-step explanation:

Let X = weight of orange slices and Y = weight of strawberry leaves.

Therefore,

Quantities:

i. X + Y = 13

Cost:

ii. 1.27X + 1.77Y = 19.01

Rearranging i. equation:

Y = 13 – X

Substituting this in the second equation

1.27X + 1.77*(13 – X) = 19.01

1.27X + 23.01 - 1.77X= 19.01

0.5X = 4

X = 8

Inputting the value X into i. equation:

8 = 13 – Y

Y = 5.