Track / Stage 2 / 19 of 320 #339 of 2604

Problem 339

Number theory Difficulty 2.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2007

There are various ways to make \$207 using only \$2 coins and \$5 bills. One such way is using one \$2 coin and forty-one \$5 bills. Including this way, in how many different ways can \$207 be made using only \$2 coins and \$5 bills?

(A) $9$ (B) $10$ (C) $19$ (D) $41$ (E) $21$

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.