Fruit Company Delivers Its Order

Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 89 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight 157 of kilograms. How much does each type of box weigh?

Answer 1

5L + 3S = 89

15L + 9S = 267

7L + 9S = 157

8L = 110

L = 13.75 kg for a large box

3S= 89-5L = 89- 68.75 = 20.25

S = 20.25/3 = 6.75 kg for a small box

7(13.75) + 9(6.75) = 96.25 + 60.75 = 157

5(13.75) +3(6.75) = 68.75 + 20.25 = 89