Question

Benecio worked 40 hours at his two jobs last week. He earned $20 per hour at his weekday job and $18 per hour at his weekend job. He earned $770 in all. How many hours did he work at each job?
Please tell me the system of equations as that's what I need to solve it. Thanks!

Answer 1

Let the number of hours he worked at his weekday job be x and the number of hours he worked at his weekend job be y, then

$x+y=40\ .\ .\ .\ (1) \\ \\ 20x+18y=770\ .\ .\ .\ (2) \\ \\ (1)\times18\Rightarrow18x+18y=720\ .\ .\ .\ (3) \\ \\ (2)-(3)\Rightarrow2x=50 \\ \\ \Rightarrow x=50/2=25$

From (1): 25 + y = 40
y = 40 - 25 = 15.

Therefore, Beneio worked for 25 hours at his weekday job and 15 hours at his weekend job.