Question

If you had 1 dollar and 36 cents and you bought something what would you spend to spend all of the money by multiplying it by .07 for the tax then rounding it to a whole number or cents and making it 1.36? PLZ help me I need all the help I could get.

Answer 1

Answer:

$\large \boxed{\ 1.27}}$

Step-by-step Explanation:

              Let x = the amount you have to spend.

   Then 0.07x = the tax

and x + 0.07x = $1.36

$\begin{array}{rcll}x + 0.07x & = & \ 1.36 &\\1.07x & = & \ 1.36 & \text{Combined like terms}\\x & = & \dfrac{\ 1.36}{1.07} & \text{Divided each side by 1.07}\\\\ & = & \mathbf{\ 1.27} & \text{Did the division}\\\end{array}\\\text{You would spend \large \boxed{\mathbf{\ 1.27}} before tax}$

Check:

1.07 × $1.27 = $1.36

         $1.36 = $1.36

OK.