Question

2.) Bob has two weekend jobs. Last weekend he made a total of $77 after

working 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 delivering
newspapers for 3 hours. How much does he get paid per hour at each job?​

Answer 1

cashier:9 and deliverring newspapers :8

Explanation:

Answer 2

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 =77

6x + 3y=78

We solve the system by reduction method:

-6*(5x+4y=77) ⇒ -30x-24y=-462

5*(6x+3y=78)⇒ 30x+15y=390

---------------------------

-9y=-72 ⇒ y=-72 /-9=8

Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.

5x + 4(8)=77

5x+32=77

5x=77-32

5x=45

x=45/5=9

therefore;

money earned per hour working as a cashier= $9/ hour

money earned per hour working delivering newspapers=$8/hour