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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
+520
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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
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296 = .4n

148 = .2n

Multiply both sides by 5.

740 = n.

There are 740 students in the middle school.

~~Hypotenuisance

May 3, 2019