Jacob, Branson, and Emily work at a local store. They are each paid a certain rate to work weekdays, but are paid an additional 25% per hour to work on the weekends.
Last week, Jacob worked a total of 20 hours and was paid a total of $172 before taxes. He is paid $8 per hour on weekdays.
Last week, Branson also worked a total of 20 hours, but worked 2 hours less on the weekend than Jacob. He was paid a total of $189 before taxes.
Last week, Emily worked 3 hours less on the weekend than she worked on the weekdays. She is paid $0.40 more per hour than Branson on weekdays. She was paid a total of $176.25 before taxes.
Determine the amount of money that Emily was paid to work the weekend.
Provide evidence to support your answer. Be sure to include algebraic representations of the three situations as part of your support.