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

You usually buy a 165ounce bottle of shampoo There is a new bottle that says it gives you 30 more free class=

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Answer:

[tex]\frac{x-16.5}{16.5}=0.30[/tex]

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:

[tex]\frac{\text{new}-\text{old}}{\old}[/tex]

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:

[tex]\frac{x-16.5}{16.5}=0.30[/tex]

We could have found the equation like this:

[tex]16.5+16.5(0.30)=x[/tex]

Subtract 16.5 on both sides:

[tex]16.5(0.30)=x-16.5[/tex]

Divide both sides by 16.5:

[tex]0.30=\frac{x-16.5}{16.5}[/tex]

By us of symmetric property of equality:

[tex]\frac{x-16.5}{16.5}=0.30[/tex]

Answer:

[tex]\frac{x-16.5}{16.5}=0.30[/tex]

Step-by-step explanation:

First, we have to find an expression to find [tex]x[/tex], then we fit the answer in the blanks.

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

[tex]x=16.5 + 0.30(16.5)[/tex]

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:

[tex]x=16.5 + 0.30(16.5)\\x-16.5=0.30(16.5)\\\frac{x-16.5}{16.5}=0.30[/tex]

Therefore, the answer is

[tex]\frac{x-16.5}{16.5}=0.30[/tex]

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