Question

You usually buy a 16.5-ounce bottle of shampoo. There is a new bottle that says it gives you 30% more free.

Answer 1

`(x-16.5)/(16.5)=0.30`

Hopefully, this is your desired setup. (I noticed the formula you have to fill in there.)

Have a good day.

Explanation:

Hi.

You could use the percent change formula.

Since we know it is a percent increase then we will do new-old instead of old-new:

`\frac{\text{new}-\text{old}}{\old}`

x is the new amount of shampoo.

16.5 is the original amount (old) of shampoo.

The percent increase is 30%=0.30 .

So we have the following equation:

`(x-16.5)/(16.5)=0.30`

We could have found the equation like this:

`16.5+16.5(0.30)=x`

Subtract 16.5 on both sides:

`16.5(0.30)=x-16.5`

Divide both sides by 16.5:

`0.30=(x-16.5)/(16.5)`

By us of symmetric property of equality:

`(x-16.5)/(16.5)=0.30`

Answer 2

`(x-16.5)/(16.5)=0.30`

Explanation:

First, we have to find an expression to find
`x`, then we fit the answer in the blanks.

So, the
`x` represent the new bottle, which according to the problem has 30% more ounces than the old one which has 16.5 ounces. That means:

`x=16.5 + 0.30(16.5)`

As you can observe, the equation is adding the additional 30% ounces to the old bottle to find the new one.

If we fit this expression in the blanks, would be:

`x=16.5 + 0.30(16.5)\\x-16.5=0.30(16.5)\\(x-16.5)/(16.5)=0.30`

Therefore, the answer is

`(x-16.5)/(16.5)=0.30`