Ashi has 130 rupees in the form of 5-rupee coins and 2-rupee coins. The number of 2-rupee coins is 4
times that of 5-rupee coins. Find the number of coins of each denomination.
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Step-by-step explanation:
Given Ashi has 130 rupees in the form of 5-rupee coins and 2-rupee coins. The number of 2-rupee coins is 4 times that of 5-rupee coins. Find the number of coins of each denomination.
- Let x be the number of coins of Rs 5
- Let y be the number of 2 rupee coins.
- According to question we get
- So y = 4x------------1
- Now Ashi has 130 Rs in the form of 5 rupee coins and 2 rupee coins.
- So 5x + 2y = 130 -------------2
- Substituting y in equation 2 we get
- 5x + 2(4x) = 130
- 5x + 8x = 130
- 13x = 130
- So x = 130 / 13
- So x = 10
- Now substituting the value of x we get
- So y = 4(10)
- So y = 40
Therefore the number of 2 Re coins is 40 and the number of 5 rupee coins is 10.
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