Let the Salary of Mr. O'Conell be : S
Given : Mr. O'Conell spends 15% of his Salary on Food
[tex]\mathsf{\implies 15\%\;of\;Salary(S) = (\frac{15}{100} \times S) = 0.15 \times S}[/tex]
Given : Mr. O'Conell spends 24% of his Salary on Transportation
[tex]\mathsf{\implies 24\%\;of\;Salary(S) = (\frac{24}{100} \times S) = 0.24 \times S}[/tex]
Given : After Spending on Food and Transportation, He saves $1830
Money Spent on Food + Money spent on Transportation + Remaining Money should be Equal to his Total Salary
[tex]\mathsf{\implies 0.15S + 0.24S + 1830 = S}[/tex]
[tex]\mathsf{\implies 0.39S + 1830 = S}[/tex]
[tex]\mathsf{\implies S - 0.39S = 1830}[/tex]
[tex]\mathsf{\implies 0.61S = 1830}[/tex]
[tex]\mathsf{\implies S = \frac{1830}{0.61} }[/tex]
[tex]\mathsf{\implies S = 3000}[/tex]
Mr. O'Conell's Salary is $3000
