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17 June, 04:20

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper. a). How many grams are in the resulting mixture? __grams. b). What percentage of the resulting mixture is copper? ___%

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  1. 17 June, 05:44
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    a) 128 grams

    b) 81.25%

    Explanation:

    a) The mixture will be between the alloy and the pure copper, so the mass will be the sum of the mass of the compounds:

    m = 50 + 78 = 128 g

    b) In the alloy, 52% is copper, so to know the mass of copper in the alloy, we must multiply the total mass by 52% (which is 0.52)

    0.52x50 = 26 g of copper

    The total mass of copper in the mixture is 26 + 78 = 104 g

    So, the percentual of copper is the mass of copper divided by the total mass

    104/128 = 0.8125

    Multiplying by 100%, to have the result in percentage

    0.8125x100% = 81.25%
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