Answer:
There are a total of 1240 students.
Step-by-step explanation:
Represent # of boys by b and # of girls by g.
Then b/g = 11:9, and b = g + 124.
Solve this system of equations using substitution:
b 11
----- = ------
g 9
becomes g + 124 11
------------- = -----
g 9
Cross multiplying yields 9g + 124(9) = 11 g, or 9g + 1116 = 11g
Combining the g terms yields:
1116 = 2g
Then g =558.
There are 558 girls. There are 124 more boys than girls: 558+124 = 682 boys.
Altogether there are 558 + 682, or 1240 students.
