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 51 kilograms. A delivery of 6 parge boxes and 5 small boxes has a total weight of 127 kilograms. How much does each type of box weigh?

Question

Mathematics

Fletcher Spence

13 April, 21:32

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 51 kilograms. A delivery of 6 parge boxes and 5 small boxes has a total weight of 127 kilograms. How much does each type of box weigh?

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Answers (1)

Know the Answer?

Jefferson Wilcox · Answer 1

L = 15.75 kg

S=6.5 kg

Step-by-step explanation:

Let L be the weight of a large box and S be the weight of a small box. So we can set up two equations:

2L + 3S = 51

6L + 5S = 127

Solve for L or S in one of the equations and substitute it into the other equation and find the other unknown.

2L = 51 - 3S

L = (51 - 3S) / 2

6 (51 - 3S) / 2 + 5S = 197

153 - 9 S + 5 S = 127

- 4 S = - 26

S = 6.5 kg

L = (51 - 3 (6.5)) / 2 = 15.75 kg

Plug them in to the original equations to see if they work.