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

Answer:

Final alloy

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

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

$90\cdot 0.5=45$ 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 $=\dfrac{69.5}{160}\cdot 100\%=43.4375\%$