Maths Olympiad Prep

Track / Stage 5 / 41 of 400 #641 of 1964

Problem 641

AIME late
Algebra Difficulty 5.1 Find the answer

20. (5 points)
Xiyangyang, Meiyangyang, and Nuanyangyang went treasure hunting, and each of them found some gold coins. Xiyangyang's number of gold coins is 14\frac{1}{4} of the total number of gold coins the other two have, Meiyangyang's number of gold coins is 13\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.

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

Official solution

320320

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.