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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 4 small boxes has a total weight of 201 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 82 kilograms. How much does each type of box weigh?

Respuesta :

2460673

Answer:

Large: 24.61 kg

Small: 4.09 kg

Step-by-step explanation:

This is a system of equations. For the first delivery, you need the equation 8x+4y=201. For the second, it's 3x+2y=82.

First, look at the second equation. Subtract 3x from both sides (2y=82-3x) and divide by two on both sides (y=41-1.5x). Substitute 41-1.5x into the first equation instead of y. Solve and get the answer x=24.61 kg.

To find the small boxes, pick either equation, substitute 24.61 for x, and solve! You should get y=4.085 kg, which I would round to 4.09.

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