Answer: 125 children
We have an unknown amount of children in the second group, so let us call this x. The number of children in the first class must be x + 50. In other words, the total number of children in both classes would be x + x + 50, which equals to 2x+50, and you have a total of 300 children. Let us start with this equation:
2x + 50 = 300
Subtract 50 from both sides
2x + 50 - 50 = 300 - 50
Simplify
2x = 250
Divide both sides by 2
2x / 2 = 250 / 2
Simplify
x = 125
Again, we said, x is an unknown amount of children in the second group. As you can see, x = 125, so there are 125 children in the second group.
125 + 50 = 175
Since, there are 50 more children in the first group, you would add 50 to 125, and that will give us a total of 175 children in the first group.