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?
Let [tex]x[/tex] be the number of hours that the waitress works in the evening.
We know for our problem that she works [tex]5 \frac{1}{8} [/tex] in the afternoon and that she works 1.75 hours less in the afternoon than in the evening, so: [tex]x=5 \frac{1}{8} -1.75[/tex] Since [tex] \frac{1}{8} =0.125[/tex], we can rewrite our expression: [tex]x=5.125-1.75[/tex] [tex]x=3.375[/tex]
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: [tex]3 \frac{3}{8} [/tex] hours.