A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 4 large boxes and 8 small boxes has a tot
al weight of 105 kilograms. Delivery of 2 large boxes and 3 small boxes has a total weight of 46 kilograms. How much does each type of box weigh?
1 answer:
Answer:
x = 13.25 kg
y = 6.5 kg
Step-by-step explanation:
Let
Large box = x
Small box = y
4x + 8y = 105 (1)
2x + 3y = 46 (2)
(Multiply (2) by 2 to eliminate x
2x + 3y = 46 (2) ×2
4x + 6y = 92 (3)
4x + 8y = 105 (1)
Subtract (3) from (1)
8y - 6y = 105 - 92
2y = 13
y = 13/2
y = 6.5kg
Substitute y = 6.5 into (2)
2x + 3y = 46 (2)
2x + 3(6.5) = 46
2x + 19.5 = 46
2x = 46 - 19.5
2x = 26.5
x = 26.5/2
x = 13.25 kg
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