Question

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?

Answer 1

6 7/8

Explanation:

Answer 2

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

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,

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

`x= (41)/(8)+1.75` ( By adding 1.75 on both sides and change mixed fraction into simple fraction in right side )

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

`=(1025+350)/(200)`

`=(1375)/(200)`

`=(55)/(8)`

`=6(7)/(8)`

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