Maths Olympiad Prep

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, 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.


Hide/Reveal Description of Favourites

Yellow, 10
Red, 5
Blue, 25
Pink, 20
Green, 5

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, 354=834\frac{35}{4}=8\frac34.

Since 34\frac34 is closer to 1 than it is to 0, then 8348\frac34 is closer to 9 than it is to 8.

The integer closest in value to 354\frac{35}{4} is 9.

Solution 2

Written as a decimal 354=35÷4=8.75\frac{35}{4}=35\div4=8.75.

Since 0.75 is closer to 1 than it is to 0, then 8.758.75 is closer to 9 than it is to 8.

The integer closest in value to 354\frac{35}{4} is 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.