Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 3 small boxes has a total weight of 46 kilograms. A delivery of 4 large boxes and 8 small boxes has a total weight of 105 kilograms. How much does each type of box weigh?

Weight of each large box ____ kilogram(s)

Weight of each small box ____kilogram(s)

Answer 1

L: Large
s: Small

-2 (2L + 3s = 46)
4L + 8s = 105

-4L - 6s = -92
4L + 8s = 105

2s = 13
s = 6.5 kilograms

2L + 3 ( 6.5 ) = 46
2L + 19.5 = 46
2L = 26.5
L = 13.25 kilograms.