MHB 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]

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.