Question

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.

Answer 1

Final alloy

• weighs
  `160` grams
• contains
  `69.5` grams of cooper
• percent of cooper in alloy is
  `43.4375\%`

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

`90\cdot 0.5=45` grams of cooper

35% alloy contains

`70\cdot 0.35=24.5` grams of cooper

Final alloy

• weight
  `=90+70=160` grams
• contains cooper
  `=45+24.5=69.5` grams
• percent of cooper in alloy
  `=(69.5)/(160)\cdot 100\%=43.4375\%`