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Alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 90 grams of an alloy containing 50% of copper with 70 grams of an alloy containing 35% copper.

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Answer:

Final alloy

  • weighs [tex]160[/tex] grams
  • contains [tex]69.5[/tex] grams of cooper
  • percent of cooper in alloy is [tex]43.4375\%[/tex]

Step-by-step explanation:

Suppose that a certain alloy is made by mixing 90 grams of an alloy containing 50% of copper with 70 grams of an alloy containing 35% copper.

50% alloy contains

[tex]90\cdot 0.5=45[/tex] grams of cooper

35% alloy contains

[tex]70\cdot 0.35=24.5[/tex] grams of cooper

Final alloy

  • weight [tex]=90+70=160[/tex] grams
  • contains cooper [tex]=45+24.5=69.5[/tex] grams
  • percent of cooper in alloy [tex]=\dfrac{69.5}{160}\cdot 100\%=43.4375\%[/tex]

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