Answer:
81.25%
Step-by-step explanation:
Let the total homework of a boy be x
Part of homework done at school=[tex]\frac{1}{8}[/tex] x
Part of homework done at bus ride home= [tex]\frac{1}{16}[/tex] x
Part of homework done =[tex]\frac{1}{8}[/tex] x + [tex]\frac{1}{16}[/tex] x
Part of homework done =[tex]\frac{3x}{16}[/tex]
Part of homework left to be done at home= x -[tex]\frac{3x}{16}[/tex]
Part of homework left to be done at home= [tex]\frac{13x}{16}[/tex]
Percentage of homework of the total work is to be done at home= [tex]\frac{\frac{13x}{16} }{x}[/tex] × 100%
Percentage of homework of the total work is to be done at home= 81.25%
Hence, the correct answer is 81.25%