There are 180 students registered in a soccer camp. Of those registered, 35% are seventh graders. How many of the students registered are in the seventh grade?

Mar 14, 2018

See a solution process below:

Explanation:

We can rewrite this problem as:

What is 35% of 180?

"Percent" or "%" means "out of 100" or "per 100", Therefore 35% can be written as $\frac{35}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number of seventh graders we are looking for "s".

Putting this altogether we can write this equation and solve for $s$ while keeping the equation balanced:

$s = \frac{35}{100} \times 180$

$s = \frac{6300}{100}$

$s = 63$

There are 63 seventh graders registered in the soccer camp.

Mar 14, 2018

$63$ students have registered.

Explanation:

You can solve this with a simple analogy.

In $100$ students $35$ are registered.
In $180$ students $x$ are registered.

You do the cross multiplication and you get:

$100 x = 180 \cdot 35$
$100 x = 6300$
$x = 63$

So, $63$ students have registered.