Collins Middle School has 296 sixth grade students. Of the sixth grade is 40% of the total school, how many students are in the middle school?
Set up equation:
The total students is x
So the number of 6th graders is 4/10x (as 4/10 means 40% of)
And 4/10 simplifies to 2/5.
\(296=\frac{2}{5}x\)
To get rid of that nasty fraction and to isolate x, we can first divide by 2.
\(148=\frac{1}{5}x\)
Then finally, we multiply by 2.
\(740=x\)
So the total number of students in the school is \(\boxed{740}\) Students
296 = .4n
148 = .2n
Multiply both sides by 5.
740 = n.
There are 740 students in the middle school.
~~Hypotenuisance