Question

A 22-student class just accepted 10 new students. By what percentage did the number of students change?

a) 10%
b) 22%
c) 45%
d) 68.18%

Answer 1

The number of students in a class originally with 22 students increased by approximately 45% after accepting 10 new students, making the correct answer c) 45%.

Step-by-step explanation:

The question asks by what percentage the number of students changed when a class of 22 students accepted 10 new students. To find the percentage change, we divide the increase by the original number and then multiply by 100 to get a percentage.

Here is the step-by-step calculation:

1. Calculate the increase in the number of students: 10 new students.
2. Divide the increase by the original number of students: 10 ÷ 22.
3. Multiply the result by 100 to get the percentage: (10 ÷ 22) × 100.

Now, let's do the math:

1. 10 ÷ 22 = 0.4545 (recurring)
2. 0.4545 × 100 ≈ 45.45%

Therefore, the number of students in the class increased by approximately 45%. The correct answer is c) 45%.