Answer:
Let's use "x" to represent the total number of students in the class.
According to the problem, the number of boys is 7/10 of the total number of students, and the number of girls is 3/10 of the total number of students. We can set up the following equation based on this information:
Number of Boys = 7/10 x
Number of Girls = 3/10 x
The problem also tells us that there are 16 more boys than girls in the class. We can set up another equation based on this information:
Number of Boys = Number of Girls + 16
Now we can use these two equations to solve for the total number of students:
7/10 x = 3/10 x + 16
Subtracting 3/10 x from both sides, we get:
4/10 x = 16
Multiplying both sides by 10/4, we get:
x = 40
Therefore, there are 40 students in the class. To find the number of boys and girls, we can use the equations we set up earlier:
Number of Boys = 7/10 x = 7/10 * 40 = 28
Number of Girls = 3/10 x = 3/10 * 40 = 12
So there are 28 boys and 12 girls in the class.