Problema Solution
Sunshine Fruit Company packs three types of gift boxes or oranges, pink grapefruit, and white grapefruit. Box A contains 10 oranges, 3 pink grapefruit, and 3 white grapefruit. Box B contains 5 oranges, 2 pink grapefruit, and 3 white grapefruit. Box C contains 4 oranges, 1 pink grapefruit, and 2 white grapefruit. The shipping manager has available 51 oranges, 16 pink grapefruit, and 23 white grapefruit. How many gift boxes or each type can she prepare?
Answer provided by our tutors
let
a = the number of boxes A
b = the number of boxes B
c = the number of boxes C
10a + 5b + 4c = 51
3a + 2b + c = 16
3a + 3b + 2c = 23
by solving the above system of equations we find:
a = 2 boxes
b = 3 boxes
c = 4 boxes
The shipping manager can prepare 2 A boxes, 3 B boxes and 4 C boxes.