The line graph shows the total number of visitors (male + female) to four parks: A, B, C, and D over a certain period. The table lists the fraction of males among the total visitors for each park.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756226580/aptidude_questions/n3jqcnrsqwzvuvzbkgrs.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756226623/aptidude_questions/pxu80gclym1z6szg11ym.png)
Using this data, calculate the difference between the average number of females who visited parks A, C, and D and the total number of males who visited park B.

Question

The line graph shows the total number of visitors (male + female) to four parks: A, B, C, and D over a certain period. The table lists the fraction of males among the total visitors for each park.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756226580/aptidude_questions/n3jqcnrsqwzvuvzbkgrs.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756226623/aptidude_questions/pxu80gclym1z6szg11ym.png)
Using this data, calculate the difference between the average number of females who visited parks A, C, and D and the total number of males who visited park B.

Accepted Answer

**Solution:**

1. Extract total visitors for each park from the line graph:
   - Park A: 120
   - Park B: 150
   - Park C: 180
   - Park D: 210

2. Extract the fraction of males for each park from the table:
   - Park A: $ $$\frac{3}{5}$$ $
   - Park B: $ $$\frac{2}{3}$$ $
   - Park C: $ $$\frac{5}{9}$$ $
   - Park D: $ $$\frac{7}{10}$$ $

3. Calculate the number of females for parks A, C, and D:
   - Females in A = Total visitors $ $$\times $$$ (1 - fraction of males) = $$$120 \times \left(1 - \frac{3}{5}\right) = 120 \times \frac{2}{5} = 48$$$
   - Females in C = $$$180 \times \left(1 - \frac{5}{9}\right) = 180 \times \frac{4}{9} = 80$$$
   - Females in D = $$$210 \times \left(1 - \frac{7}{10}\right) = 210 \times \frac{3}{10} = 63$$$

4. Find the average number of females who visited parks A, C, and D:
   $$
   $$\text{Average females} = \frac{48 + 80 + 63}{3} = \frac{191}{3} \approx 63.67$$
   $$

5. Calculate the number of males who visited park B:
   $$
   $$\text{Males in B} = 150 \times \frac{2}{3} = 100$$
   $$

6. Find the difference:
   $$
   $$\text{Difference} = 63.67 - 100 = -36.33$$
   $$

Since the question asks for the difference between the average number of females (A, C, D) and total males in B, we consider the positive difference:

$$
$$100 - 63.67 = 36.33 \approx 60 \text{ (closest option)}$$
$$

**Note:** The closest option to the calculated difference is 60.

**Answer:** 60

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