Question Details

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.

Options

A

200

B

140

C

160

D

120

Show Answer

Correct Answer :

180

Solution :

Based on the provided line graph and table, we can extract the relevant data for Parks A and C:

Park A:
Total number of people (male + female) visited = 144
Fraction of males = 23

Park C:
Total number of people (male + female) visited = 112
Fraction of males = 47

Let's calculate the details step-by-step:

Step 1: Find the number of males who visited Park A and Park C
Number of males visited Park A:

Males(A)=144×23=96

Number of males visited Park C:

Males(C)=112×47=64

Total number of males who visited Park A and C together:

Total Males(A + C)=96+64=160

Step 2: Find the number of females who visited Park E
According to the given information, the total number of females who visited Park E is 75% of the total number of males who visited Parks A and C together:

Females(E)=160×75%=160×0.75=120

Step 3: Find the number of males who visited Park E
First, find the total number of females who visited Park C:

Females(C)=Total(C)-Males(C)=112-64=48

The number of males who visited Park E is 25% more than the total number of females who visited Park C:

Males(E)=48×(1+25%)=48×1.25=60

Step 4: Find the total number of people who visited Park E

Total People(E)=Females(E)+Males(E)=120+60=180

The correct answer is 180.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...