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.
Total number of females visited park A and D together is what percent more than total number of females visited park B.
Correct Answer :
20%
Solution :
The correct option is 20%.
Based on the provided line graph titled "Number of People (Male + Female) Visited Different Parks", we can extract the total number of visitors for each park:
- Total visitors in park A = 144
- Total visitors in park B = 160
- Total visitors in park C = 112
- Total visitors in park D = 96
From the table showing the "Fraction of male out of total people", we can find the fraction of females visiting each park using the relation:
Fraction of females = 1 - Fraction of males
Step 1: Calculate the total number of females visited park A
The fraction of males visited park A is given as:
Therefore, the fraction of females visited park A is:
The total number of females visited park A is:
Step 2: Calculate the total number of females visited park D
The fraction of males visited park D is given as:
Therefore, the fraction of females visited park D is:
The total number of females visited park D is:
Step 3: Calculate the total number of females visited parks A and D together
Total females (A + D) is:
Step 4: Calculate the total number of females visited park B
The fraction of males visited park B is given as:
Therefore, the fraction of females visited park B is:
The total number of females visited park B is:
Step 5: Find what percent more the females visited park A and D together are compared to park B
The difference between females visited (A + D) and B is:
The percentage difference is calculated as:
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