In a school, Section P has 36 students with an average score of 58. Sections P and Q together have 60 students with an average score of 61. What is the average score of Section Q?

Explanation

1. 01

   Combined total = $60 \times 61 = 3{,}660$; Section P total = $36 \times 58 = 2{,}088$.

2. 02

   Section Q has $60 - 36 = 24$ students with total $3{,}660 - 2{,}088 = 1{,}572$.

3. 03

   Average of Q = $\frac{1572}{24} = 65.5$.