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 :
To solve the problem, we first extract and analyze the data from the line graph and the table provided in the images.
The line graph shows the total number of people (male + female) who visited four different parks (A, B, C, and D).
The vertical axis is divided into intervals of 32 units, with 4 grid subdivisions between each label, meaning each grid line represents:
From the graph, we can determine the total number of visitors for each park:
- Park A: The point is at 2 grid lines above 128, which corresponds to:
- Park B: The point is exactly on the grid line for 160, which corresponds to:
- Park C: The point is at 2 grid lines above 96, which corresponds to:
- Park D: The point is exactly on the grid line for 96, which corresponds to:
The table shows the fraction of males out of the total people who visited each park.
Since the fraction of males is known, the fraction of females is:
Using this relation, we calculate the number of female visitors in Park A, B, and D:
- Park A:
Fraction of males =
Fraction of females =
Number of females in Park A =
- Park B:
Fraction of males =
Fraction of females =
Number of females in Park B =
- Park D:
Fraction of males =
Fraction of females =
Number of females in Park D =
We need to find by what percent the total number of females who visited parks A and D together is more than the total number of females who visited park B.
- Total females in A and D together:
- Females in B:
- Difference:
- Percentage more:
Therefore, the total number of females who visited parks A and D together is 20% more than the total number of females who visited park B.
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