Anne and Nancy use a metal alloy that is $19 \%$ copper to make jewelry. How many ounces of an alloy that is $12 \%$ copper must be mixed with an alloy that is $25 \%$ copper to form 65 ounces of the desired alloy?
A) 35 ounces
B) 30 ounces
C) 32 ounces
D) 40 ounces

Question

Quizplus · Accepted Answer

Let $x$ be the amount of the $12\%$ copper alloy, and $65 - x$ be the amount of the $25\%$ copper alloy. The equation to represent the mixture is $0.12x + 0.25(65 - x) = 0.19 \times 65$. Solving for $x$ gives $x = 30$ ounces.

Anne and Nancy Use a Metal Alloy That Is 19%19 \%19%

Anne and Nancy Use a Metal Alloy That Is $19 \%$