[tex]\mathsf{Given : Roger\;earns\;24\;Dollars\;a\;Week}\\\\\mathsf{Given : Roger\;spends\;\frac{1}{6}\;of\;his\;Earnings\;on\;Lunch}\\\\\mathsf{\implies Dollars\;he\;spends\;for\;Lunch = (\frac{1}{6} \times 24) = 4}[/tex]
[tex]\mathsf{Given : Roger\;Spends\;\frac{2}{3}\;of\;his\;Earnings\;on\;Music}\\\\\mathsf{\implies Dollars\;he\;spent\;on\;Music = (\frac{2}{3} \times 24) = (2 \times 8) = 16}[/tex]
[tex]\mathsf{Dollars\;remaining\;in\;Roger's\;Pocket\;after\;all\;his\;Spendings = [24 - (16 + 4)]}[/tex]
[tex]\mathsf{Dollars\;remaining\;in\;Roger's\;Pocket\;after\;all\;his\;Spendings = [24 - 20] = 4}[/tex]
Roger saves 4 Dollars!