The table below shows the total number of people (Adults + Children) who visited four different parks in a week. It also provides the total number of males and the ratio of males to females among the adult visitors.

**Note:**
- Adult = Male + Female
- Total adult males visiting all four parks combined = 2700

If the total number of females visiting Park A is 255 more than the total number of children visiting Park C, find the total number of children who visited Park A.

| Parks | Total people (Adult + Children) | Total number of males | Ratio of males to females (Adults) |
|-------|---------------------------------|-----------------------|-------------------------------------|
| A | 2200 | 80P | - |
| B | 1440 | 40P | - |
| C | 1200 | 45P | 9 : 4 |
| D | 480 | 15P | 5 : 3 |

Question

The table below shows the total number of people (Adults + Children) who visited four different parks in a week. It also provides the total number of males and the ratio of males to females among the adult visitors.

**Note:**
- Adult = Male + Female
- Total adult males visiting all four parks combined = 2700

If the total number of females visiting Park A is 255 more than the total number of children visiting Park C, find the total number of children who visited Park A.

| Parks | Total people (Adult + Children) | Total number of males | Ratio of males to females (Adults) |
|-------|---------------------------------|-----------------------|-------------------------------------|
| A     | 2200                            | 80P                   | -                                   |
| B     | 1440                            | 40P                   | -                                   |
| C     | 1200                            | 45P                   | 9 : 4                               |
| D     | 480                             | 15P                   | 5 : 3                               |

Accepted Answer

**Solution:**

1. Let the variable be *P* as given in the table.

2. Total adult males in all parks = 2700.

From the table:
   - Park A males = 80P
   - Park B males = 40P
   - Park C males = 45P
   - Park D males = 15P

Sum of males = 80P + 40P + 45P + 15P = 180P

Given, 180P = 2700

So, $ P = $\frac{2700}{180} = 15$ $

3. Calculate total males in each park:
   - Park A males = 80 × 15 = 1200
   - Park B males = 40 × 15 = 600
   - Park C males = 45 × 15 = 675
   - Park D males = 15 × 15 = 225

4. For Park C, the ratio of adult males to adult females is 9:4.

Let adult females in Park C = 4x and adult males = 9x.

Since adult males in Park C = 675, we get:
   $$ 9x = 675 \implies x = 75$ $

Therefore, adult females in Park C = 4 × 75 = 300

5. Total adults in Park C = males + females = 675 + 300 = 975

6. Total people in Park C = 1200 (given)

So, children in Park C = Total people - Adults = 1200 - 975 = 225

7. Given that females in Park A are 255 more than children in Park C:

Females in Park A = Children in Park C + 255 = 225 + 255 = 480

8. Total people in Park A = 2200

Adults in Park A = males + females = 1200 + 480 = 1680

Therefore, children in Park A = Total people - Adults = 2200 - 1680 = 520

**Answer:** 520

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