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MathNet 2023-part-06 — 191 problems (EN–VI) Question 19

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 19

A goldsmith has two alloys. The first alloy contains $90\%$ gold and the second $54\%$ gold. The goldsmith mixed $320~\mathrm{g}$ of the first alloy and $160~\mathrm{g}$ of the second alloy to obtain a new alloy. What percentage of gold does the new alloy contain?
(A) 33
(B) 48
(C) 65
(D) 72
(E) 78