Using linear systems to solve problems (4)

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SUMMARY

Sabrina's part-time job earnings can be analyzed using a system of linear equations. She works \(x\) hours at her weekday job earning \$9 per hour and \(y\) hours at her weekend job earning \$12 per hour. The equations \(x + y = 23\) and \(9x + 12y = 231\) represent her total hours and earnings, respectively. Solving these equations reveals the exact number of hours she worked at each job.

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Sabrina has two part time jobs delivering flyers. She earns \$9/h at her weekday job and \$12/h at her weekend job. Last week s he worked 23h and earned a total of \$231. How many hours did she work at each job?
 
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bkan21 said:
Sabrina has two part time jobs delivering flyers. She earns \$9/h at her weekday job and \$12/h at her weekend job. Last week s he worked 23h and earned a total of \$231. How many hours did she work at each job?

Hi bkan21, :)

This information can be fit into a pair of simultaneous equations. Suppose Sabrina works \(x\) hours at the weekday job and \(y\) hours at the weekend job. Then,

\[x+y=23\mbox{ and }9x+12y=231\]

Now solve the above two simultaneous equations and find \(x\) and \(y\).

Kind Regards,
Sudharaka.
 

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