Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.
22 in one class and 28 in the other, keeping in mind that it states one class is larger than the other.
Let's say 'x' to number of the students in the smaller class. Since the larger one is 6 more than the smaller one, its number would be 'x+6'. So their sum is equal to
\(x+x+6=2x+6\) and we know total is 50 so:
\(2x+6=50\\ 2x=50-6\\ 2x=44\\ x=\frac { 44 }{ 2 } \\ x=22\)
x is 22 so the larger number 'x+6' is equal to : \(x+6=22+6=28\)