2.) Bob has two weekend jobs. Last weekend he made a total of $77 afterworking as a cashier for 5 hours and delivering newspapers for 4 hours.This weekend he made $78 working as a cashier for 6 hours and deliveringnewspapers for 3 hours. How much does he get paid per hour at each job?
Accepted Solution
A:
Answer:Step-by-step explanation:x= money earned per hour working as a cashier.y=money earned per hour working delivering newspapers.We propose the following system of equations:5x + 4y =776x + 3y=78We solve the system by reduction method:-6*(5x+4y=77) ⇒ -30x-24y=-4625*(6x+3y=78)⇒ 30x+15y=390 --------------------------- -9y=-72 ⇒ y=-72 /-9=8Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.5x + 4(8)=775x+32=775x=77-325x=45x=45/5=9therefore; money earned per hour working as a cashier= $9/ hourmoney earned per hour working delivering newspapers=$8/hour