Question

If $85\%$ of the population of an ant colony is red, and of these $45\%$ are females, then what $\%$ of the total ant population are male red ants?

• A. $45\%$
• B. $46.5\%$
• C. $46.75\%$
• D. $45.75\%$

Answer 1

The correct option is C $46.75\%$

Red ant Females $=45\%.$

Male red ants $=$ $55\%$.

Now $\%$ of male red ants in total population $=$ $\left(55\%\text{of}85\%\right)\times 100$

Now $\%$ of male red ants in total population $=$ $(\frac{55}{100}\times \frac{85}{100})\times 100$

Now $\%$ of male red ants in total population = $0.55\times 0.85\times 100=46.75\%$.