Answered

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%

B24%
C25%

UA

D28%

Verified Answer :

semsee45

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:

\(\textsf{Males with brown eyes}=60\% \times 30\% \\\\\textsf{Males with brown eyes}= 0.6 \times 0.3 \\\\\textsf{Males with brown eyes}= 0.18\\\\\textsf{Males with brown eyes}= 18\%\)

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

\(\textsf{Females with brown eyes}=28\%-18\%\\\\\textsf{Females with brown eyes}=10\%\)

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%):

\(\textsf{Percentage of females with brown eyes}=\dfrac{10\%}{40\%}\\\\\\\textsf{Percentage of females with brown eyes}=0.25\\\\\\\textsf{Percentage of females with brown eyes}=25\%\)

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

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