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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?

 May 3, 2019
 #1
avatar+2395 
+1

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

 May 3, 2019
edited by CalculatorUser  May 3, 2019
 #2
avatar+128 
-1

296 = .4n

148 = .2n

Multiply both sides by 5.

740 = n.

There are 740 students in the middle school.

 

~~Hypotenuisance

 May 3, 2019

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