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There are two types of coins rs 1 and 50 and their ratio is 3:4 and the total is 450 find the number of 50 paise coins?
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There are two types of coins rs 1 and 50 and their ratio is 3:4 and th...
Understanding the Problem
To solve the problem, we need to find the number of 50 paise coins when the ratio of Rs 1 coins to 50 paise coins is 3:4 and the total amount is Rs 450.
Step 1: Define Variables
- Let the number of Rs 1 coins be 3x.
- Let the number of 50 paise coins be 4x.
Step 2: Calculate the Total Value
- The value of Rs 1 coins: 3x * 1 = 3x Rs
- The value of 50 paise coins: 4x * 0.5 = 2x Rs
Step 3: Set Up the Equation
- Total value equation: 3x + 2x = 450
Step 4: Solve for x
- Combine like terms: 5x = 450
- Solve for x: x = 450 / 5 = 90
Step 5: Calculate the Number of Coins
- Number of Rs 1 coins: 3x = 3 * 90 = 270
- Number of 50 paise coins: 4x = 4 * 90 = 360
Conclusion: Find the Required Number of Coins
Therefore, the number of 50 paise coins is 360.
This systematic approach allows us to easily determine the number of coins based on the given ratio and total amount.
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There are two types of coins rs 1 and 50 and their ratio is 3:4 and the total is 450 find the number of 50 paise coins?
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