Read the following data carefully and answer the question.

The total number of admissions in school A in 2021 is 25\% more than that in 2017, and the total number of admissions in school C in 2021 is 10\% less than that in 2018. If the average number of admissions in schools A, B, and C in 2021 is 385, find the total number of admissions in school B in 2021.

Given data:

| Year | School A | School B | School C |
|-------|----------|----------|----------|
| 2017 | 360 | 150 | 270 |
| 2018 | 750 | 420 |420 |
| 2019 | 315 | 250 | 400 |
| 2020 | 460 | 220 | 380 |

Question

Read the following data carefully and answer the question.

The total number of admissions in school A in 2021 is 25\% more than that in 2017, and the total number of admissions in school C in 2021 is 10\% less than that in 2018. If the average number of admissions in schools A, B, and C in 2021 is 385, find the total number of admissions in school B in 2021.

Given data:

| Year | School A | School B | School C |
|-------|----------|----------|----------|
| 2017  | 360      | 150      | 270      |
| 2018  | 750      | 420      |420      |
| 2019  | 315      | 250      | 400      |
| 2020  | 460      | 220      | 380      |

Accepted Answer

**Solution:**

1. Calculate the admissions in school A in 2021:
   - Admissions in 2017 for school A = 360
   - Admissions in 2021 = 25\% more than 2017
   - So, admissions in 2021 = $360 + 0.25 	imes 360 = 360 + 90 = 450$

2. Calculate the admissions in school C in 2021:
$$\frac{9}{100} 	imes 420 = 378 $$
3.  the admissions in school B in 2021 be $x$.
4. 385 $	imes$ 3 -(450+378)=327

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