A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8 hours in the afternoon, how many hours does she work in the evening?

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.

Answer:

6 7/8

Step-by-step explanation: