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CEMC Gauss (Grade 8), 2017

Algebra Difficulty 1.2 Junior Find the answer Canada

Students were surveyed about their favourite colour and the results are displayed in the graph shown.

What is the ratio of the number of students who chose pink to the number of students who chose blue?

Pick one

Solution

Solution 1

Written as a mixed fraction, $\frac{35}{4}=8\frac34$ .

Since $\frac34$ is closer to 1 than it is to 0, then $8\frac34$ is closer to 9 than it is to 8.

The integer closest in value to $\frac{35}{4}$ is 9.

Solution 2

Written as a decimal $\frac{35}{4}=35\div4=8.75$ .

Since 0.75 is closer to 1 than it is to 0, then $8.75$ is closer to 9 than it is to 8.

The integer closest in value to $\frac{35}{4}$ is 9.

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