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.

$N+\frac{7.5}{100}N=80$

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

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

Now we multiply both sides by 100:

$107.5N=8000$

Now we divide by 107.5:

$N=\frac{8000}{107.5}$

Solving the operations:

$N=74.4\cong74$

Therefore, the maximum amount to spend is $74