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प्रश्न
Shama has some ₹ 2 and some ₹ 5 coins. The total number of coins are 50 and their total cost is ₹ 190. Find the number of ₹ 2 coins and of ₹ 5 coins.
बेरीज
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उत्तर
Given:
- Total number of coins = 50
- Coins of ₹ 2 and ₹ 5 only
- Total amount = ₹ 190
Let the number of ₹ 2 coins be x.
Then the number of ₹ 5 coins = 50 – x.
Step-wise calculation:
1. Total coins equation:
x + (50 – x) = 50
2. Total amount equation:
2x + 5(50 – x) = 190
3. Simplify the amount equation:
2x + 250 – 5x = 190
–3x + 250 = 190
–3x = 190 – 250
–3x = –60
`x = (-60)/(-3)`
x = 20
4. Number of ₹ 5 coins:
50 – x = 50 – 20
50 – x = 30
Number of ₹ 2 coins = 20.
Number of ₹ 5 coins = 30.
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