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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 $78 working at his cashier job for 6 hours and delivering newspapers for 3 hours. How much does he get paid per hour at each job?

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absor201

Bob gets $9 for working as a cashier per hour and $8 for working as delivering newspapers per hour.

Step-by-step explanation:

Let,

Per hour pay of working as cashier = x

Per hour pay of delivering newspaper = y

According to given statement;

5x+4y=77      Eqn 1

6x+3y=78      Eqn 2

Multiplying Eqn 1 by 6

[tex]6(5x+4y=77 )\\30x+24y=462\ \ \ Eqn\ 3[/tex]

Multiplying Eqn 2 by 5

[tex]5(6x+3y=78)\\30x+15y=390\ \ \ Eqn\ 4[/tex]

Subtracting Eqn 4 from Eqn 3

[tex](30x+24y)-(30x+15y)=462-390\\30x+24y-30x-15y=72\\9y=72[/tex]

Dividing both sides by 9

[tex]\frac{9y}{9}=\frac{72}{9}\\y=8[/tex]

Putting y=8 in Eqn 2

[tex]6x+3(8)=78\\6x+24=78\\6x=78-24\\6x=54[/tex]

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]

Bob gets $9 for working as a cashier per hour and $8 for working as delivering newspapers per hour.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/5873564
  • brainly.com/question/5798698

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