【Question 3】
In a math competition, the average score of boys in a class is 73 points, and the average score of girls is 77 points, with the overall average score of the class being 74 points. It is also known that there are 22 more boys than girls. Therefore, the total number of students in the class is $\qquad$ people.
【Analysis and Solution】Average number problem.
(Method One)
Let the number of girls be $x$, then the number of boys is $(x+22)$; According to the problem, we get $73(x+22)+77x=74[x+(x+22)]$; Solving this, we get $x=11$; The total number of students in the class is $11+(11+22)=44$.
(Method Two)
Cross method:
Boys
Girls
73
77
${ }^{74}$ /
3
1

The ratio of boys to girls is $3: 1$;
The total number of students in the class is $22 \div(3-1) \times(3+1)=44$.