Question

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?

Answer 1

She worked
`6(7)/(8)` hours in evening.

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,

`x-1.75 = 5(1)/(8)`

`x-(175)/(100)=(41)/(8)`

`x-(7)/(4)=(41)/(8)`

`x=(41)/(8)+(7)/(4)`

`x=(41+14)/(8)`

`x=(55)/(8)=6(7)/(8)`

Therefore, she worked
`6(7)/(8)` hours in evening.