Track / Stage 2 / 23 of 320 #343 of 2604

Problem 343

Number theory Difficulty 2.0 Find the answer CEMC Pascal · Canada · 2010

Several three-legged tables and four-legged tables have a total of 23 legs. If there is more than one table of each type, what is the number of three-legged tables?

(A) $6$ (B) $7$ (C) $3$ (D) $4$ (E) $5$

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.