Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. How much does each type of box weigh?

Answer 1

x = large boxes, y = small boxes

2x + 12y = 193
5x + 3y = 118.....multiply by -4
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2x + 12y = 193
-20x - 12y = - 472 (result of multiplying by -4)
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-18x = - 279
x = -279/-18
x = 15.5 <=== large boxes weigh 15.5 kg

2x + 12y = 193
2(15.5) + 12y = 193
31 + 12y = 193
12y = 193 - 31
12y = 162
y = 162/12
y = 13.5 <== small boxes weigh 13.5 kg