Question

if tom has 1488 left after spending 1/5 of his monthly salary for rent and 1/9 of his monthly salary for his car payment, what was his monthly salary ?

Answer 1

Let the monthly salary = x

Tom spending 1/5 of his monthly salary on rent and 1/9 of his monthly salary for his car payment,

So, totally spent =

`(1)/(5)x+(1)/(9)x=((1)/(5)+(1)/(9))x=((9)/(45)+(5)/(45))x=(14)/(45)x`

So, the left from the salary =

`x-(14)/(45)x=(1-(14)/(45))x=((45)/(45)-(14)/(45))x=(31)/(45)x`

Given: Tom has 1488 left

So,

`(31)/(45)x=1488`

Solve for x:

`\begin{gathered} 31x=45\cdot1488 \\ \\ x=(45\cdot1488)/(31)=2160 \end{gathered}`

So, the answer is the monthly salary = $2,160