Directions: Read the following details carefully and answer the question that follows.

Pie chart (i) displays the percentage distribution of total visitors (males and females combined) who visited an art exhibition on five different days of the week. Pie chart (ii) displays the percentage distribution of female visitors who attended the exhibition across the same five days.

The number of female visitors who attended the art exhibition on Saturday is 20% more than the total number of male visitors on Wednesday. If the ratio of male visitors on Saturday to Tuesday is 8:11 respectively, find the total count of male and female visitors combined who attended the exhibition on Saturday.

Correct Answer: 254

Step-by-Step Explanation:

Step 1: Extract basic data from the pie charts

From Pie Chart (i), the total number of visitors (males and females combined) across all five days is 1500.
From Pie Chart (ii), the total number of female visitors across all five days is 800.

Step 2: Calculate the number of male visitors on Wednesday

Looking at Pie Chart (i), the percentage distribution of total visitors on Wednesday is 15%.

$\text{Total visitors on Wednesday}=15\%\text{ of }1500$

$\text{Total visitors on Wednesday}=\frac{15}{100}\times 1500=225$

Looking at Pie Chart (ii), the percentage distribution of female visitors on Wednesday is 10%.

$\text{Female visitors on Wednesday}=10\%\text{ of }800$

$\text{Female visitors on Wednesday}=\frac{10}{100}\times 800=80$

Now, calculate the male visitors on Wednesday by subtracting female visitors from total visitors:

$\text{Male visitors on Wednesday}=225-80=145$

Step 3: Calculate the number of female visitors on Saturday

The problem states that female visitors on Saturday are 20% more than the male visitors on Wednesday (145):

$\text{Female visitors on Saturday}=145+(20\%\text{ of }145)$

$\text{Female visitors on Saturday}=145+\left(\frac{20}{100}\times 145\right)=145+29=174$

Step 4: Calculate the number of male visitors on Tuesday and Saturday

Looking at Pie Chart (i), the percentage distribution of total visitors on Tuesday is 10%.

$\text{Total visitors on Tuesday}=10\%\text{ of }1500=\frac{10}{100}\times 1500=150$

Looking at Pie Chart (ii), the percentage distribution of female visitors on Tuesday is 5%.

$\text{Female visitors on Tuesday}=5\%\text{ of }800=\frac{5}{100}\times 800=40$

Now, calculate male visitors on Tuesday:

$\text{Male visitors on Tuesday}=150-40=110$

The ratio of male visitors on Saturday to Tuesday is given as 8 : 11.

$\text{Male visitors on Saturday}=\frac{8}{11}\times 110=80$

Step 5: Find the total count of male and female visitors combined on Saturday

$\text{Total visitors on Saturday}=\text{Male visitors on Saturday}+\text{Female visitors on Saturday}$

$\text{Total visitors on Saturday}=80+174=254$

Thus, the total count of male and female visitors combined who attended the exhibition on Saturday is 254.