A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 75 kilograms. A delivery of 9 large boxes and 7 small boxes has a total weight of 171 kilograms. How much does each type of box weigh?

Question

Mathematics

Alexis Dickson

8 February, 20:27

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 75 kilograms. A delivery of 9 large boxes and 7 small boxes has a total weight of 171 kilograms. How much does each type of box weigh?

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Answers (1)

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Lillie · Answer 1

3L + 5S = 75

9L + 7S = 171

12L + 12S = 246

12L = 246 - 12S

L = 20.5 - S

3 (20.5 - S) + 5S = 75

60.5 - 3S + 5S = 75

2S = 13.5

S = 6.75

3L + 5 (6.75) = 75

3L + 33.75 = 75

3L = 41.25

L = 13.75