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# Math

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A 59% copper alloy is made by mixing 20 g of a 43% copper alloy with some 63% copper alloy. The number of grams of 59% copper alloy produced is.

Guest May 7, 2017
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A 59% copper alloy is made by mixing 20 g of a 43% copper alloy with some 63% copper alloy. The number of grams of 59% copper alloy produced is.

Let x be the amount of the 63% alloy  ...  so....

Amt of 43% copper alloy* 43%  + Amount of 63% alloy * 63%  =   Total amount * 59%

20 (.43)   +  x (.63)  =  (20 + x) (.59)     simplify

8.6   + .63x   =   11.8 + .59x         sutract  8.6, .59x   from both sides

.04x   =   3.2           divide both sides by  .04

x  = 80g  of  63% alloy

So......the total amount of 59% alloy  =    (20 + 80)  = 100 g

CPhill  May 7, 2017

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