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.

The ratio local and outside people visited park B is 7 : 1 respectively, while the ratio of total local and outside females visited park B is 5 : 1 respectively. Find the ratio of outside to local males visited park B.

Correct Answer: The correct option is 1 : 9.

Step-by-Step Explanation:

Step 1: Extract basic data for Park B from the given graphs.

From the line graph, the total number of people (males + females) who visited Park B is 160.

From the table, the fraction of males out of the total people visiting Park B is $\frac{5}{8}$.

Step 2: Calculate the number of males and females in Park B.

Total males visiting Park B = $160\times \frac{5}{8}=100$

Total females visiting Park B = $160-100=60$

Step 3: Calculate total local and outside visitors for Park B.

The ratio of local people to outside people visiting Park B is given as 7 : 1.

Total parts = $7+1=8$

Total local visitors = $160\times \frac{7}{8}=140$

Total outside visitors = $160\times \frac{1}{8}=20$

Step 4: Calculate local and outside female visitors for Park B.

The ratio of local females to outside females visiting Park B is given as 5 : 1.

Total parts = $5+1=6$

Local females = $60\times \frac{5}{6}=50$

Outside females = $60\times \frac{1}{6}=10$

Step 5: Calculate local and outside male visitors for Park B.

Local males = (Total local visitors) - (Local females) = $140-50=90$

Outside males = (Total outside visitors) - (Outside females) = $20-10=10$

Step 6: Find the ratio of outside to local males in Park B.

Ratio of outside males to local males = $10:90=1:9$