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Mathematics

Medicine is packed in boxes, each weighing 4 kg 500 g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?

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Answer

Mass of each box = 4 kg 500 g

= (4 × 1,000 + 500) g

= 4,500 g

Maximum mass the van can carry = 800 kg

= (800 × 1,000) g

= 8,00,000 g

Number of boxes that can be loaded = Maximum massMass of each box\dfrac{\text{Maximum mass}}{\text{Mass of each box}}

= 8,00,0004,500\dfrac{8{,}00{,}000}{4{,}500}

Dividing 8,00,000 by 4,500:

Quotient = 177, remainder = 3,500.

So, the maximum number of boxes that can be loaded is 177 (since 178 boxes would weigh 178 × 4,500 = 8,01,000 g = 801 kg, which is more than 800 kg).

Hence, the number of boxes that can be loaded in the van is 177.

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