Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 187 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 87 kilograms. How much does each type of box weigh?

Answer 1

large = 18.5 kg; small = 15.75 kg

Explanation:

5L + 6S = 187;

3L + 2S = 87

5L + 6S = 187

-9L - 6S = -261

-4L = -74

L = 18.5

3L + 2S = 87

3(18.5) + 2S = 87

2S = 31.5

S = 15.75

Answer: large = 18.5 kg; small = 15.75 kg