A metalworker has a metal alloy that is 25% copper and another alloy that is 60% copper.How many kilograms of each alloy should the metalwor

Question

A metalworker has a metal alloy that is 25% copper and another alloy that is 60% copper.How many kilograms of each alloy should the metalworker combine to create 50kg of a 46% copper alloy

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Nevaeh 1 week 2021-11-18T06:47:26+00:00 1 Answer 0 views 0

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    2021-11-18T06:48:43+00:00

    Answer:

    20kg of 25% copper alloy

    30kg of 60% copper alloy

    Step-by-step explanation:

    There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.

    A+B = 50

    A= 50-B

    Let’s put the first equation into the second.

    0.25A + 0.6B = 0.46 *50

    0.25(50-B) + 0.6B =23

    12.5 – 0.25B + 0.6B =23

    0.35B=23 -12.5

    B= 10.5/ 0.35= 30

    Then we can solve A

    A= 50-B

    A= 50-30

    A=20

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45:7+7-4:2-5:5*4+35:2 =? ( )