Solve the problem.
-Anne and Nancy use a metal alloy that is 18.6% copper to make jewelry. How many ounces of a 12% alloy must be mixed with a 23% alloy to form 75 ounces of the desired alloy?
A) 32 ounces
B) 30 ounces
C) 45 ounces
D) 50 ounces

Question

Quizplus · Accepted Answer

To solve this problem, we can use the concept of weighted averages or the method of alligation. Let $x$ be the amount of 12% alloy and $75 - x$ be the amount of 23% alloy. The equation to represent the mixture is: $0.12x + 0.23(75 - x) = 0.186 \times 75$. Solving for $x$ gives us 30 ounces.

Solve the Problem. -Anne and Nancy Use a Metal Alloy That Is 18.6