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A total of 324 coins of 20 paise and 25 paise make a sum of rs 71 the number of 25 paise coins is |
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Answer» GIVEN Total number of coins = 324 Total amount is = Rs.71 = 7100 paise TO FIND :- Number of 25 paise coins. SOLUTION Let x be number of 20 paise coins Let y be number of 25 paise coins According to the QUESTION , x + y = 324 ... eq.01 20x + 25y = 7100 ...eq02 We can solve both the equation by pair of linear equation one variable, y = 324 - x (from eq.01) We can substitute this VALUE in equation 02, 20x + 25(324 - x) = 7100 => 20x + 8100 - 25x = 7100 => - 5X = 7100 - 8100 => - 5x = - 1000 => x = 200 Now, the number of 20 paise coins is 200. Hence number of 25 paise coins will be, 324 - 200 = 124(ANS) The number of 20 paise coins = 200 The number of 20 paise coins = 200The number of 25 paise coins = 124 (ANS) VERIFICATION Putting both values in eq.02, LHS = 20x + 25y = 20 × 200 + 25 × 124 = 4000 + 3100 = 7100 = RHS Hence, LHS = RHS Our answer is CORRECT. |
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