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 :
Correct Option: 20%
To find the percentage by which the total number of females who visited parks A and D together is more than the total number of females who visited park B, we can analyze the data given in the line graph and the table step-by-step.
Step 1: Extract the total number of people and male fractions from the graph and table
From the line graph, the total number of people (male + female) who visited each park is:
Park A = 144
Park B = 160
Park D = 96
From the table, the fraction of males out of the total people for each park is:
Park A =
Park B =
Park D =
Step 2: Calculate the total number of females who visited Park A
Since the fraction of males is , the fraction of females is:
Therefore, the number of females who visited Park A is:
Step 3: Calculate the total number of females who visited Park B
Since the fraction of males is , the fraction of females is:
Therefore, the number of females who visited Park B is:
Step 4: Calculate the total number of females who visited Park D
Since the fraction of males is , the fraction of females is:
Therefore, the number of females who visited Park D is:
Step 5: Calculate the combined number of females for parks A and D
Total females for A and D together is:
Step 6: Calculate the percentage difference compared to park B
We need to determine what percent more 72 is compared to the number of females in park B (60).
Difference in the number of females:
Required percentage more is:
Thus, the total number of females who visited park A and D together is 20% more than the total number of females who visited park B.
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