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The ratio of copper and zinc in an alloy is 5:3. If the weight of the alloy is 61 gram, find the weight of the zinc in the alloy |
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Answer» Answer:- The WEIGHT of zinc is 22.875g. Solution:- Method 1 Let the ratio of COPPER and zinc be 5x and 3x, = 5x + 3x = 61 = 8X = 61 = x = 61/8 = x = 7.625 Now, the weight of zinc is ( 3x ) = 7.625 × 3 = 22.875g. Method 2 Let the ratio of copper and zinc be 5x and 3x ➦ 5x + 3x = 61 ➦ 8x = 61 ➦ x = 61/8 ➦ x = 7.625 Now, If we find the weight of copper, then we will ABLE to find the weight of zinc :- The weight of copper:- ➦ 7.625 × 5 ➦ 38.125 The weight of zinc = The weight of alloy - The Weight of copper Therefore, ➦ 61g - 38.125g ➦ 22.875g Now, Verification ➦ 22.875 + 38.125 = 61 ➦ 61 = 61 L.H.S = R.H.S Hence, Proved. |
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