Share 50 marbles in the ratio 2:3

50 marbles are shared between two people in the ratio 2:3. How many marbles does each person get?

Step-by-step

1. 2 + 3 = 5
   Total parts = sum of all ratio terms
2. 50 ÷ 5 = 10
   Value of one part
3. 10 × 2 = 20
   Share for ratio term 1
4. 10 × 3 = 30
   Share for ratio term 2

Why it works

Sharing in a ratio means splitting the total into 2 + 3 = 5 equal parts; one part is the total divided by 5, and each share is that part multiplied by its own number of parts.

Common mistakes

• Dividing 50 by 3 instead of by the 5 parts in total.
• Finding that one part is 10 marbles and then stopping, without multiplying for the 3-part share.

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