Track / Stage 5 / 77 of 400 #677 of 1964

Problem 677

AIME late

Algebra Difficulty 5.1 Find the answer

(5 points)
Xiyangyang, Meiyangyang, and Nuanyangyang went treasure hunting, and each of them found some gold coins. Xiyangyang's number of gold coins is $\frac{1}{4}$ of the total number of gold coins the other two have, Meiyangyang's number of gold coins is $\frac{1}{3}$ of the total number of gold coins the other two have, and Nuanyangyang has 176 gold coins. Therefore, the total number of gold coins they found is $\qquad$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$320$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.