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Question
In a bag, the number of one rupee coins is three times the number of two rupees coins. If the worth of the coins is ₹ 120, find the number of 1 rupee coins.
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Solution
Let the number of two rupee coins be y.
Then, the number of one rupee coin is 3y.
Total money by two rupee coins = 2 × y = 2y
Total money by one rupee coin = 1 × 3y = 3y
Total worth of coins = ₹ 120
So, the equation formed is 2y + 3y = 120 ...[Given]
⇒ 5y = 120
`(5y)/5 = 120/5` ...[Dividing both sides by 5]
⇒ y = 24
∴ Number of two rupee coins = y = 24 and number of one rupee coins = 3y = 3 × 24 = 72.
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