2008 Grade 8 CEMC Gauss Problems/Problem 7

Problem

The circle graph shows the favourite ice cream flavours of those surveyed. What fraction of people surveyed selected either chocolate or strawberry as their favourite flavour of ice cream?

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$\text{ (A) }\ \frac{3}{5} \qquad\text{ (B) }\ \frac{1}{3} \qquad\text{ (C) }\ \frac{2}{3} \qquad\text{ (D) }\ \frac{3}{4} \qquad\text{ (E) }\ \frac{5}{8}$

Solution 1

First, we can figure out the percentage of people that chose either flavor by adding the percentages together:

$50\% + 10\%$ = $60\%$

We can now turn this percentage into a fraction, and then reduce the fraction:

$60\% = \frac{60}{100} = \frac{60 \div 20}{100 \div 20} = \boxed {\textbf {(A) } \frac{3}{5}}$

~anabel.disher

Solution 2

We can turn the percentages of people that chose chocolate ice cream as their favorite, as well as strawberry, and add them together, and then simplify the ending fraction:

$50\% = \frac{50}{100}$

$10\% = \frac{10}{100}$

$\frac{50}{100} + \frac{10}{100} = \frac{60}{100} = \boxed {\textbf {(A) } \frac{3}{5}}$

~anabel.disher

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2008 Grade 8 CEMC Gauss Problems/Problem 7

Problem

Solution 1

Solution 2