Be r the regular rate and h the hoiday's rate.
Then you can write this two equations:
From the first statement:
188.50 = 5h + 16r
From the second statement:
254.00 = 8h + 20r.
There you have a system of two independent equations with two variables, which you can solve by several methods.
If you multiply the first by 8 and the second by 5, you get:
40h + 128r = 1508
40h + 100r = 1270
Substract the second equation from the first one:
28r = 238
Divide by 28
r = 238/28 = 8.5
You can use now any of the two original statements to find h
254.00 = 8h + 20r
8h = 254 -20(8.5) = 84
h = 84/8 = 10.5
Solution:
h - r = 10.50 - 8.50 = 2.00
The holiday hourly rate is $2.00 more than the regular hourly rate.
