In Math town, 60% of the population
are males and 30% of them have brown
eyes. Of the total Math town population,
28% have brown eyes. What percentage
of the females in Math town have brown
eyes?
0 A. 20%
B. 24%
C. 25%
UA
D. 28%



Answer :

Answer:

C. 25%

Step-by-step explanation:

In Math town, 60% of the population are males and 30% of them have brown eyes. Therefore, the percentage of the town's population that are male with brown eyes is:

[tex]\textsf{Males with brown eyes}=60\% \times 30\% \\\\\textsf{Males with brown eyes}= 0.6 \times 0.3 \\\\\textsf{Males with brown eyes}= 0.18\\\\\textsf{Males with brown eyes}= 18\%[/tex]

If 28% of the total population have brown eyes, then the percentage of the town's population who are female with brown eyes is:

[tex]\textsf{Females with brown eyes}=28\%-18\%\\\\\textsf{Females with brown eyes}=10\%[/tex]

As 60% of the population in Math town are males, then 40% of the town's population are females.

To calculate the percentage of the females who have brown eyes, divide the percentage of the town's population who are female with brown eyes (10%) by the town's population of females (40%):

[tex]\textsf{Percentage of females with brown eyes}=\dfrac{10\%}{40\%}\\\\\\\textsf{Percentage of females with brown eyes}=0.25\\\\\\\textsf{Percentage of females with brown eyes}=25\%[/tex]

Therefore, the percentage of the females in Math town that have brown eyes is 25%.