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

Answer:

$\frac{x-16.5}{16.5}=0.30$

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

Have a good day.

Step-by-step 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:

$\frac{x-16.5}{16.5}=0.30$

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:

$0.30=\frac{x-16.5}{16.5}$

By us of symmetric property of equality:

$\frac{x-16.5}{16.5}=0.30$

Answer 2

Answer:

$\frac{x-16.5}{16.5}=0.30$

Step-by-step 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:

$x=16.5 + 0.30(16.5)\\x-16.5=0.30(16.5)\\\frac{x-16.5}{16.5}=0.30$

Therefore, the answer is

$\frac{x-16.5}{16.5}=0.30$