Solve the problem.
-Anne and Nancy use a metal alloy that is 20.75% copper to make jewelry. How many ounces of a 19% alloy must be mixed with a 24% alloy to form 80 ounces of the desired alloy?
A) 52 oz
B) 33 oz
C) 54 oz
D) 28 oz

Question

Quizplus · Accepted Answer

Let x be the number of ounces of the 19% alloy. Then, the number of ounces of the 24% alloy is 80 - x.The total amount of copper in the desired alloy is 0.2075 * 80 = 16.6 ounces.The amount of copper in the 19% alloy is 0.19 * x ounces.The amount of copper in the 24% alloy is 0.24 * (80 - x) ounces.Therefore, we have the equation:0.19 * x + 0.24 * (80 - x) = 16.6Solving for x, we get:x = 52 ounces.Therefore, the correct answer is A) 52 oz.

Solve the Problem. -Anne and Nancy Use a Metal Alloy That Is 20.75