Question

Typically, 5.7% of students in one district do not graduate. If there are 15,000 students, how many won't graduate?

Answer 1

So if 100% did not graduate, how much would that be?

Answer 2

idk

Answer 3

100% of something is all of something.

Hence, if 100% of 15,000 did not graduate, how much is that?

Answer 4

all of them???

Answer 5

100% of 15,000 = 15,000.

Alternatively,
\[ \frac{100}{100} \times 15,000 = 1 \times 15,000 = 15,000 \]

So far so good?

Answer 6

thats the answer??

Answer 7

Nope. We want 5.7% of 15,000.

So one or two more steps and we'll get there.

In general, x% of 15,000 is
\[ \frac{x}{100} \times 15,000 \]

For example, what is 10% of 15,000? Well, using the formula we just wrote down, it must be
\[ \frac{10}{100} \times 15,000 \]
Now, what is that equal to?

Answer 8

14,145???

Answer 9

No,
\[ \frac{10}{100} \times 15,000 = \frac{1}{10} \times 15,000 \]
by dividing top and bottom by 10. So far so good?

Is so, what is
\[ \frac{1}{10} \times 15,000 \]
?

Answer 10

I really dont get it

Answer 11

x% of 15,000 is a way of expressing how much of 15,000 we have.

100% of 15,000 is all of 15,000. That is, 100% of 15,000 = 15,000
0% of 15,000 on the other hand is zero. That is 0% of 15,000 = 0.

Therefore,
5.7% of 15,000
is asking for a portion of fraction of 15,000.

To answer the question exactly, we need to know what x% of 15,000 means for any value of x.

By definition x% of 15,000 is
\[ \frac{x}{100} \times 15,000 \]

Answer 12

This is the definition of what x% of a quantity means. In your question 5.7% of 15,000 means precisely,
\[ \frac{5.7}{100} \times 15,000 \]
Can you calculate that?