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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 total. How many hours did he work at each job?

Answer :

Set up the following equations:

[tex]x + y = 40[/tex]
[tex]20x + 18y = 770[/tex]

x is the amount of hours worked on the weekday job, and y is the amount of hours worked on the weekend job.

We'll use substitution to remove one of the variables.

Multiply the first equation by -18 to get opposite coefficients for y:

[tex]-18x - 18y = -720
[/tex]
[tex]20x + 18y = 770[/tex]

Combine these two equations together:

[tex]2x = 50[/tex]

Divide both sides by 2 to get x by itself:

[tex]x = 25[/tex]

Plug in x to the first original equation:

[tex]25 + y = 40[/tex]

Subtract 25 from both sides to get y by itself:

[tex]y = 15[/tex]

He worked 25 hours at his weekday job, and 15 hours at his weekend job.


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