Respuesta :
Answer:
She worked [tex]6\frac{7}{8}[/tex] hours in evening.
Step-by-step explanation:
Let x be the hours she worked in evening,
Since, she works 1.75 hours less in the afternoon than in the evening.
So, the number of hours she worked in afternoon = x - 1.75,
According to the question,
[tex]x-1.75 = 5\frac{1}{8}[/tex]
[tex]x= \frac{41}{8}+1.75[/tex] ( By adding 1.75 on both sides and change mixed fraction into simple fraction in right side )
[tex]x=\frac{41}{8}+\frac{175}{100}[/tex]
[tex]=\frac{1025+350}{200}[/tex]
[tex]=\frac{1375}{200}[/tex]
[tex]=\frac{55}{8}[/tex]
[tex]=6\frac{7}{8}[/tex]
Hence, she worked [tex]6\frac{7}{8}[/tex] hours in evening.