A bag contains 10 paise, 25 paise and 50 paise coins. The number of 25 paise coins is three times the number of 10 paise coins. If 50 paise coins are 5 more than 25 paise coins and the total value of the money in the bag is Rs 120, find the number of 10 paise coins.

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Aamirkhan Aamirkhan

04-09-2017
Mathematics

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A bag contains 10 paise, 25 paise and 50 paise coins. The number of 25 paise coins is three times the number of 10 paise coins. If 50 paise coins are 5 more than 25 paise coins and the total value of the money in the bag is Rs 120, find the number of 10 paise coins.

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W0lf93 W0lf93 · Answer 1 · 2017-09-13T17:15:39+02:00

Note that there are 100 paise in one rupee. Let x be the number of 10 paise coins. Then the number of 25 paise coins is 3x. The number of 50 paise coins is 3x + 5 The total amount of money in the bag is 120 Rupees, which is equal to 12,000 paise. We can set up an equation. 10x + 25(3x) + 50(3x+5) = 12,000 10x + 75x + 150x + 250 = 12,000 235x = 11,750 x = 11,750 / 235 x = 50 The number of 10 paise coins in the bag is 50.