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

Respuesta :

sarkhan2018
If the waitress works x hours in the evening, according to the problem, she works x-1.75 hours in the afternoon. We have given that she works 5.125 hours in the afternoon, which is x-1.75=5.125. BY solving this equation, we find unknown x, which is equal to 6.87 hours and it is the answer to the problem.

Answer:

She worked [tex]6\frac{7}{8}[/tex]  hours in evening.

Step-by-step explanation:

Suppose, x be the hours waitress worked in evening,

Given,

She works 1.75 hours less in the afternoon than in the evening.

Thus, 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{175}{100}=\frac{41}{8}[/tex]

[tex]x-\frac{7}{4}=\frac{41}{8}[/tex]

[tex]x=\frac{41}{8}+\frac{7}{4}[/tex]

[tex]x=\frac{41+14}{8}[/tex]

[tex]x=\frac{55}{8}=6\frac{7}{8}[/tex]

Therefore, she worked [tex]6\frac{7}{8}[/tex] hours in evening.

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