# Using linear systems to solve problems (4)

#### bkan21

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 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.