Question

Question #1f3d8

Answer 1

The base cost is `$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"`

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

`6%=(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")`

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

`7.95=x+0.06x`

`7.95=1.06x`

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

`7.05=x`

So the base cost is `$7.05`