Answer:
44 students
Step-by-step explanation:
Let
x ---> original number of boys
y ----> original number of girls
we know that
Originally
[tex]x=y[/tex] ----> equation A
If 11 girls leave, twice as many boys as girls remain
so
[tex]x=2(y-11)[/tex] ----> equation B
substitute equation A in equation B
[tex]x=2(x-11)[/tex]
solve for x
[tex]x=2x-22\\2x-x=22\\x=22\ boys[/tex]
Find the value of y
y=x
so
[tex]y=22\ girls[/tex]
The original number of students present is equal to
[tex]x+y=22+22=44\ students[/tex]
