Question

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

Answer 1

Value x as the weight of the large box, y as the weight of the small box

7x + 9y = 157 (1)
5x + 3y = 89 -> 15x + 9y = 267 (2)

(2) - (1) => 8x = 110

=> x = 13.75 kg
=> (1) => 5x13.75 + 3y = 89 => 3y = 20.25 => y = 6.75 kg

So, large box weigh 13.75 kg, and small box weigh 6.75 kg

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