Question #1f3d8

1 Answer
Jun 17, 2017

The base cost is $7.05$7.05

Explanation:

So anytime you buy something at the store it obviously has two different charges. There is the cost of picnic cooler and the tax added to it.

"Total bill"="Base cost" + 6%" of Base cost"Total bill=Base cost+6% of Base cost

The percentage is, mathematical, an amount out of 100%100%. So, the math of the 6%6% is simply that number divided by 100%100%.

6%=(6%)/(100%)=0.066%=6%100%=0.06

Notice the final percentage (as a decimal) doesn't have a %% symbol. You can think of them as having been "cancelled" in the previous fraction. So we have

"Total bill"="Base cost" + 0.06xx("Base cost")Total bill=Base cost+0.06×(Base cost)

Now, fill in the math sentence with the given numbers. And we can rewrite the word ""Base cost"Base cost" with the shortcut variable, xx

7.95=x+0.06x7.95=x+0.06x

7.95=1.06x7.95=1.06x

7.95/1.06=(cancel(1.06)x)/cancel(1.06)

7.05=x

So the base cost is $7.05