A bag contains a rupee, 50p, 25p coins in the ratio 5:3:2. If the total amount is 70 what is the total number of coins?a)110b)100c)120d)130Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Given:
- Ratio of rupee, 50p, 25p coins = 5:3:2
- Total amount = 70

To find: Total number of coins

Method:
1. Let's assume that the ratio of rupee, 50p, 25p coins is 5x, 3x, 2x respectively.
2. Total amount = (5x * 1) + (3x * 0.5) + (2x * 0.25) = 5x + 1.5x + 0.5x = 7x
3. Given, 7x = 70
4. Therefore, x = 10
5. Total number of coins = (5x + 3x + 2x) = 10x = 100

Answer: The total number of coins is 100.

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