A local grocer cut his marketing budget by 54% last year. He spent only $650 on marketing this year and is happy with his decision. How much did the grocer spend on marketing last year? Round your answer to the nearest cent. Do not include units with your answer.

Respuesta :

Given that the grocer spent only $650 on marketing this year, you know that this is 54% of his marketing budget last year.

You can rewrite a percent as a Decimal Number by dividing it by 100:

[tex]\frac{54}{100}=0.54[/tex]

Let be "x" the amount of money (in dollars) the grocer spent on marketing last year.

Knowing all the data, you can set up the following equation:

[tex]x-0.54x=650[/tex]

When you solve for "x", you get:

[tex]0.46x=650[/tex][tex]\begin{gathered} x=\frac{650}{0.46} \\ \\ x\approx1413.04 \end{gathered}[/tex]

Hence, the answer is: He spent $1,413.04 .