Question

a school principal had his students vote for a new school mascot. one - sixth of the students voted for a falcon, $\frac{1}{3}$ voted for a tiger, and $\frac{1}{2}$ voted for a bulldog. which statement is true?
○ more students voted for a falcon than a tiger.
○ more students voted for a tiger than a bulldog.
○ more students voted for a bulldog than a falcon.
○ more students voted for a falcon than a bulldog.

Explanation:

Step1: Compare falcon and tiger votes

Fraction for falcon: $\frac{1}{6}$, for tiger: $\frac{1}{3}$. Convert to common denominator (6): $\frac{1}{3}=\frac{2}{6}$. Since $\frac{1}{6}<\frac{2}{6}$, falcon < tiger. So first option is false.

Step2: Compare tiger and bulldog votes

Fraction for tiger: $\frac{1}{3}=\frac{2}{6}$, for bulldog: $\frac{1}{2}=\frac{3}{6}$. Since $\frac{2}{6}<\frac{3}{6}$, tiger < bulldog. Second option is false.

Step3: Compare bulldog and falcon votes

Fraction for bulldog: $\frac{1}{2}=\frac{3}{6}$, for falcon: $\frac{1}{6}$. Since $\frac{3}{6}>\frac{1}{6}$, bulldog > falcon. Third option is true.

Step4: Verify fourth option

From step3, falcon < bulldog, so fourth option is false.

Answer:

More students voted for a bulldog than a falcon.