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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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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

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