Priyadarshini mixed 4.8 kg of almonds, 2500 g of raisins and 3.5 kg of cashews…

2023

Priyadarshini mixed 4.8 kg of almonds, 2500 g of raisins and 3.5 kg of cashews and packed the mixture equally into three dozen packets. What is the weight of each packet?

Answer: C. 300 gConcept: When one total quantity is shared out equally, each share equals the total divided by the number of shares. Two conversions must always come before…

  1. A.

    650 g

  2. B.

    250 g

  3. C.

    300 g

  4. D.

    500 g

Show answer & explanation

Correct answer: C

Concept: When one total quantity is shared out equally, each share equals the total divided by the number of shares. Two conversions must always come before that division — every part of the total has to be expressed in a single common unit, and the number of shares has to be written as a plain count.

  1. Bring every ingredient to one common unit, grams: almonds 4.8 kg = 4.8 × 1000 = 4800 g, cashews 3.5 kg = 3.5 × 1000 = 3500 g, and the raisins are already given as 2500 g.

  2. Add the parts to get the total mass of the mixture: 4800 g + 2500 g + 3500 g = 10800 g.

  3. Write the number of shares as a plain count: three dozen = 3 × 12 = 36 packets.

  4. Divide the total by the number of shares: 10800 g ÷ 36 = 300 g in each packet.

Cross-check: reverse the division — 300 g × 36 = 10800 g = 10.8 kg, and 4.8 kg + 2.5 kg + 3.5 kg is also 10.8 kg, so the per-packet mass is consistent with the given data.

Watch the two steps where this type of problem is usually lost: the unit conversion (kilograms must become grams before the parts are added) and the count (three dozen is 36, not 3 and not 12).

Each packet weighs 300 g.

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