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Problem 309

Algebra Difficulty 2.2 Multiple choice CEMC Cayley · Canada · 2024

Last year, Lloyd ate cookies in the percentages shown in the pie
chart.

The number of gingerbread cookies that he ate was two times the
number of sugar cookies that he ate. What percentage of the cookies that
he ate were gingerbread cookies?

Pick one

Official solution

The percentage of cookies that Lloyd ate that were chocolate chip
or oatmeal was $33\% + 22\%$ which
equals $55\%$ .

This leaves $100\% - 55\% = 45\%$ of
the cookies that were gingerbread or sugar.

Since Lloyd ate two times as many gingerbread cookies as sugar cookies,
then $\frac{2}{3}$ of the $45\%$ , or $30\%$ , were gingerbread cookies.

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