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Using linear systems to solve problems (4)

bkan21

New member
Sep 22, 2012
6
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?
 

Sudharaka

Well-known member
MHB Math Helper
Feb 5, 2012
1,621
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.