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 g — 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…
- A.
650 g
- B.
250 g
- C.
300 g
- 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.
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.
Add the parts to get the total mass of the mixture: 4800 g + 2500 g + 3500 g = 10800 g.
Write the number of shares as a plain count: three dozen = 3 × 12 = 36 packets.
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.