Question

Question #36d16

Answer 1

See below.

Explanation:

The word "of" in this case means "multiplication." So the question is asking, `30%xx"n"=9`, where `"n"` is what we are trying to find (this is our answer).

Here is the solution process (see below):

`30%xx"n"=9`

`3/10xx"n"=9`

Multiply both sides by `10`.

`3xx"n"=90`

Divide both sides by `3`.

`"n"=color(red)(30`

Therefore, the "what" is `30` (your answer).

I hope that helps!

Answer 2

`"9 is 30% of 30"`

Explanation:

The question says:

`"9 amounts to 30% of some larger number."`
`"What is that larger number?"`
.......................

You can get an approximation of the correct answer by using logic.

Knowing the approximate answer in advance is useful because it shows that you have done the problem correctly.

30% is approximately ⅓.
So 9 is approximately ⅓ of some larger number.

That means that the larger number must be approximately 27 because `"⅓ of 27 is 9."`
`(1)/(3) xx 27 = 9`

...................................

Here is a way to find the exact answer

Translate the words into math

`"30% of what is 9?"`

`"[ 30% ] [ of ] [ what ]  [ is  ]  [ 9 ]"`
`"[ 0.30 ]  [×]     [ n ]      [ = ]  [ 9 ]"`

So the math translation of the word question is

`0.30  n = 9`

Divide both sides by 0.30 to isolate `n`, the unknown larger number.

`n = 30`

Answer:

`"9 is 30% of 30"`

.........................

Check

9 is one-third (33%) of 27.
So it is reasonable that 9 is 30% of 30.
...........................

Or by logic:

10% of 30 is 3.

So 30% (3 times larger) must be 9.
.................................

Or just calculate the value of `"30% of 30"`

`0.30 xx 30 = 9`

`Check!`