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Mathematics

12 apples weigh 2 kg 500 g. How many apples will weigh 15 kg?

Unitary Method

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Answer

First, convert weight to a single unit:

1000 g = 1 kg

500 g = 0.5 kg

∴ 2 kg 500 g = (2 + 0.5) kg = 2.5 kg.

For 2.5 kg, number of apples = 12.

For 1 kg, number of apples = (122.5)\Big(\dfrac{12}{2.5}\Big). \quad[Less weight, Less apples]

Multiply by 10 to remove decimals.

For 1 kg, number of apples = (12×102.5×10)=(12025)\Big(\dfrac{12 \times 10}{2.5 \times 10}\Big) = \Big(\dfrac{120}{25}\Big) apples

For 15 kg, number of apples = (12025×15) apples[More weight, More apples]\Big(\dfrac{120}{25} \times 15\Big) \text{ apples} \quad \text{[More weight, More apples]}

= (1205×3) apples(Dividing 15 and 25 by 5)\Big(\dfrac{120}{5} \times 3\Big) \text{ apples} \quad \text{(Dividing 15 and 25 by 5)}

= 24 x 3 apples \quad (Dividing 120 and 5 by 5)

= 72 apples.

Hence, 72 apples will weigh 15 kg.

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