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?

ANSWERS

2015-11-08 02:50:52

x = large boxes, y = small boxes 2x + 12y = 193 5x + 3y = 118.....multiply by -4 ---------------- 2x + 12y = 193 -20x - 12y = - 472 (result of multiplying by -4) ----------------- -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

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