Question

your budget is $80.00 to buy new clothes.what us the maximum whole dollar amount that you can spend on clothes, (bearing in mind that you will also have to pay 7.5 sales tax.)

Answer 1

We are told that the maximum amount to spend is $80 and that there is a 7.5% sales tax. If N is the amount we are going to spend then we need to have into account that we need to add the 7.5% of N and that should be at least equal to $80.

`N+(7.5)/(100)N=80`

Now we need to solve for N, to do that we add like terms:

`\begin{gathered} (1+(7.5)/(100))N=80 \\ (107.5)/(100)N=80 \end{gathered}`

Now we multiply both sides by 100:

`107.5N=8000`

Now we divide by 107.5:

`N=(8000)/(107.5)`

Solving the operations:

`N=74.4\cong74`

Therefore, the maximum amount to spend is $74