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

Answer:

She worked  $6\frac{7}{8}$ 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,

$x-1.75 = 5\frac{1}{8}$

$x= \frac{41}{8}+1.75$      ( By adding 1.75 on both sides and change mixed fraction into simple fraction in right side )

$x=\frac{41}{8}+\frac{175}{100}$

$=\frac{1025+350}{200}$

$=\frac{1375}{200}$

$=\frac{55}{8}$

$=6\frac{7}{8}$

Hence, she worked  $6\frac{7}{8}$ hours in evening.