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 total number of females visited park E are 75% of total number of males visited park A & C together and total number of males visited park E are 25% more than total females visited park C, then find total people visited park E.
Correct Answer :
180
Solution :
The correct answer is 180.
Based on the provided line graph and table, let's first extract the total number of visitors and the fraction of males for each park:
- Park A: Total visitors = 144, Fraction of males =
- Park B: Total visitors = 160, Fraction of males =
- Park C: Total visitors = 112, Fraction of males =
- Park D: Total visitors = 96, Fraction of males =
Step 1: Find the number of males visited Park A and Park C
- Males visited Park A:
- Males visited Park C:
- Total males visited Park A & C together:
Step 2: Calculate the number of females visited Park E
The number of females visited Park E is 75% of the total number of males visited Park A and Park C together:
Step 3: Find the number of females visited Park C
- Females visited Park C = Total visitors in C - Males visited Park C
Step 4: Calculate the number of males visited Park E
The number of males visited Park E is 25% more than the females visited Park C:
Step 5: Find the total number of people visited Park E
- Total visitors in Park E = Males in E + Females in E
Therefore, the total number of people who visited Park E is 180.
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