Boys did 1/8 of his homework at school and 1/16 of his homework on the bus ride home. Boyd plans to do the rest at home. What percent of Boyd's homework does he plan to do at home?

Respuesta :

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%

ACCESS MORE