Maths Olympiad Prep

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, 2017

Algebra Difficulty 1.1 Junior Find the answer Canada

There are 160 students in grade 8 at Murray Public School. If exactly 10% of these students are on the school’s chess team, how many grade 8 students are on the team?

Pick one

Solution

There are only two different products of two positive integers whose result is 14.

These are 2×72\times7 and 1×141\times14.

Since the two integers must be between 1 and 10, then the product must be 2×72\times7.

The sum of these two integers is 2+7=92+7=9.

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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.