Answer:
Boys = 150
Girls = 315
Total Boys and Girls 465
Step-by-step explanation:
We call x the number of boys and we call y the number of girls.
So we have to find the total number of children
We know that
[tex]\frac{2}{7}y = \frac{3}{5}x[/tex]
[tex]x =y-165[/tex]
Now we substitute the second equation in the first and solve for y.
[tex]\frac{2}{7}y = \frac{3}{5}(y-165)[/tex]
[tex]\frac{2}{7}y = \frac{3}{5}y-99\\\\99 = \frac{3}{5}y-\frac{2}{7}y\\\\\frac{11}{35}y=99\\\\y = 315\\[/tex]
Now we find x.
[tex]x = 315-165 = 150\\\\x = 150[/tex]
Finally we have that:
Boys = 150
Girls = 315
Total Boys and Girls 465
