Question

At the end of the day, a storekeeper had $1272 in the cash register, counting both the sale of goods and the sales tax of 6%. How do you find the amount that is the tax?

Answer 1

tax `= $72`

Explanation:

Let `g` represent the value of good sold and `t` represent the tax collected on the goods sold.

We are told:
`color(white)("XXX")g+t=1272`
and
`color(white)("XXX")t=6/100 g`

Therefore
`color(white)("XXX")g+6/100g=1272`

`color(white)("XXX")106g =127200`

`color(white)("XXX")g=127200/106=1200`

and since `g+t=1272`
`color(white)("XXX")t=72`