Question

A suit was marked with a 10% discount.

If the discount is $16.00, what was the original price of the suit?

Answer 1

See below:

Explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving and the other being Comprehending. I'll start off with comprehending.

Comprehending

So, we know that 10% of a number is $16. That means that
`(1)/(10)` of the number "
`x`" is equal to $16.

A percentage is basically a fraction of something, for example, 25% of a number would be
`(1)/(4)` of the same number.

Example:

25% of 10 =
`(1)/(4) * 10 = 2.5`

2.5 is 25% of 10 =
`2.5 / (1)/(4)=10`

Now that we know the basics, we can do the real solving.

Solving

To solve, the question, we can first read the problem and make an equation,

"10% of
`x` is 16."

We can then make a equation.

`x((1)/(10))=16`

`x=16 / (1)/(10) \\x=160`

After solving, we know that 10% of 160 is equal to 16. We can prove that with the following:

`16*10=160`

After solving our equation, we can see that the answer is $160.

$16 is 10% of $160.

Cheers!