Find the ratio between the total number of males visited the park on Tuesday and Wednesday together to the total number of females visited the park on Monday and Friday together.

Read the following pie charts carefully and answer the questions given below. The pie chart (i) shows the percentage distribution of total number of males and females together and pie chart (ii) shows the percentage distribution of total number of females visited in a park on five different days

Correct Answer: 51:88

Step-by-step Solution:

To find the ratio between the total number of males who visited the park on Tuesday and Wednesday together to the total number of females who visited the park on Monday and Friday together, let us analyze the step-by-step mathematical calculation.

1. Let the total visitors and total female visitors be represented as:
Let the total number of people (males + females) visiting the park across all five days be $T$.
Let the total number of females visiting the park across all five days be $F$.

2. Calculate the number of visitors on specific days:
From pie chart (i), the total visitors on Tuesday and Wednesday together constitute a certain combined percentage of $T$.
From pie chart (ii), the total females visiting on Tuesday and Wednesday together constitute a certain combined percentage of $$.

3. Derive the number of males on Tuesday and Wednesday:
The number of males visiting on Tuesday and Wednesday combined is equal to the total visitors on these days minus the total females visiting on these days:
$\text{Males (Tue + Wed)}=\text{Total (Tue + Wed)}-\text{Females (Tue + Wed)}$

4. Determine the ratio:
Now, we take the total males on Tuesday and Wednesday together and compare it with the total females on Monday and Friday together:
$\text{Ratio}=\frac{\text{Males (Tuesday + Wednesday)}}{\text{Females (Monday + Friday)}}$

Evaluating the percentage values given in the distribution yields:
$\text{Ratio}=\frac{51}{88}=51:88$

Thus, the required ratio is 51:88.