The line graph below shows the total number of people (male + female) who visited four different parks (A, B, C, and D). The table provides the fraction of males among the total visitors for each park.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756809163/aptidude_questions/k23ziyq5x34dkv21s3lw.png)

| Park | Fraction of Males |
|-------|------------------|
| A | $\frac{2}{3}$ |
| B | $\frac{5}{8}$ |
| C | $\frac{4}{7}$ |
| D | $\frac{3}{4}$ |

Using the data, find 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 below shows the total number of people (male + female) who visited four different parks (A, B, C, and D). The table provides the fraction of males among the total visitors for each park.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756809163/aptidude_questions/k23ziyq5x34dkv21s3lw.png)

| Park  | Fraction of Males |
|-------|------------------|
| A      | $\frac{2}{3}$    |
| B     | $\frac{5}{8}$    |
| C    | $\frac{4}{7}$    |
| D    | $\frac{3}{4}$  |

Using the data, find 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 graph:
   - Park A = 160
   - Park B = 160
   - Park C = 128
   - Park D = 96

2. Calculate the number of males in each park using the given fractions:
   - Males in A = $ $\frac{2}{3} \times 160 = \frac{320}{3} = 106.67 \approx 107$ $
   - Males in B = $ $\frac{5}{8} \times 160 = 100$ $
   - Males in C = $ $\frac{4}{7} \times 128 = \frac{512}{7} \approx 73.14$ $
   - Males in D = $ $\frac{3}{4} \times 96 = 72$ $

3. Calculate the number of females in parks A, C, and D:
   - Females in A = Total - Males = 160 - 107 = 53
   - Females in C = 128 - 73.14 = 54.86
   - Females in D = 96 - 72 = 24

4. Find the average number of females in parks A, C, and D:
   $$
   $\text{Average females} = \frac{53 + 54.86 + 24}{3} = \frac{131.86}{3} \approx 43.95$
   $$

5. Total males in park B = 100

6. Find the difference:
   $$
   $|43.95 - 100| = 56.05 \approx 60$
   $$

**Answer:** 60

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