Maths Olympiad Prep

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, 2012

Algebra Difficulty 1.4 Junior Find the answer Canada

Seven students shared the cost of a 26.00 pizza. Each student paid either 3.71 or 3.72. How many students paid 3.72?

Pick one

Solution

We can rephrase the given information by saying that each of the seven students paid 3.71 and some of the students paid an extra 0.01.

Since 7×$3.71=$25.977\times \$3.71 = \$25.97 and the pizza cost 26.00 in total, then the students who paid the extra 0.01 each must make up the final $0.03 of the cost of the pizza.

Therefore, 3 students each paid an additional 0.01andsopaid0.01 and so paid 3.72 in total.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.