The line graph given below shows total number of people (male + female) visited four different parks (A, B, C and D) and table shows fraction of male out of total people visited these four parks.

Read the data carefully and answer the questions below.

If average number of females visited park A, B & F are 60, then find total number of females visited park F are what percent of total number of males visited park A.

Correct Answer: 75%

Based on the provided line graph and table, we can analyze the data for each park step-by-step:

1. Find the total number of visitors for Parks A and B:
From the line graph, the vertical axis scale increases by 32 units for every 4 grid intervals, meaning each grid line represents:
$\frac{32}{4}=8$
people.

- For Park A, the data point is on the second line above 128, which corresponds to:
$128+(2\times 8)=144$
total visitors.

- For Park B, the data point is exactly at 160 total visitors.

2. Calculate the number of males and females for Parks A and B:
Using the fractions of males provided in the table:

- For Park A:
Fraction of males = $\frac{2}{3}$
Total males visited Park A =
$144\times \frac{2}{3}=96$
Total females visited Park A =
$144-96=48$

- For Park B:
Fraction of males = $\frac{5}{8}$
Total males visited Park B =
$160\times \frac{5}{8}=100$
Total females visited Park B =
$160-100=60$

3. Find the number of females visited Park F:
We are given that the average number of females who visited Parks A, B, and F is 60:
$\frac{{\text{Females}}_{\text{A}}+{\text{Females}}_{\text{B}}+{\text{Females}}_{\text{F}}}{3}=60$
Substitute the known values:
$\frac{48+60+{\text{Females}}_{\text{F}}}{3}=60$
Multiply both sides by 3:
$108+{\text{Females}}_{\text{F}}=180$
Subtract 108 from both sides:
${\text{Females}}_{\text{F}}=72$

4. Calculate the required percentage:
We need to find what percent the total number of females visited Park F (72) is of the total number of males visited Park A (96):
$\text{Percentage}=\left(\frac{{\text{Females}}_{\text{F}}}{{\text{Males}}_{\text{A}}}\right)\times 100$
Substitute the values:
$\text{Percentage}=\left(\frac{72}{96}\right)\times 100$
Simplify the fraction:
$\text{Percentage}=\frac{3}{4}\times 100=75\%$