Question 1202097
i get 13 sophomores.


you are given that there are 22 students total.
you are given that there are 6 more boys than girls.
you are given that there are  freshmen boys and 4 sophomore girls.
let b = number of boys and g = number of girls.
you get b + g = 22
since b = g + 6, you get g + 6 + g = 22.
combine like terms to get 2g + 6 = 22
subtract 6 from both sides of the equation to get 2g = 16
solve for g to get g = 8.
since b = g + 6, then b = 14
since 5 boys are freshmen, then 9 boys must be sophomores.
since 4 girls are sophomores, then 4 girls must be freshmen.
the freshman class has 5 boys and 4 girls = 9 total.
the sophomore class has 9 boys and 4 girls = 13 total.
the number of sophomores in the class is equal to 13.
i made a chart that you see below:
<pre>
             freshmen    sophomores    total
boys             5           9           14
girls            4           4            8
total            9          13           22
</pre>
looks good to me.
hopefully you agree.