Question is in description.

Question

Working her way through school, Kathy works two part-time jobs for a total of 33 hours a week. Job A pays $5.70 per hour, and Job B pays $7.00 per hour. How many hours did she work at each job the week that she made $211.50? (Round to two decimal places if necessary.)

Answer 1

 

Hi Shatoria,

 

Assuming Kathy worked x hours at job A, and

 

y hours at job B.

 

As she worked 33 hours a week,

 

we get

 

     x + y = 33     (Eq. 1)

 

And, she made 5.70 times x from job A, and

 

7.00 times y from job B,

 

from which we get the total of 211.50.

 

     5.70x + 7.00y = 211.50     (Eq. 2)

 

By solving a set of linear Eq. 1 and Eq. 2,

 

we get x = 15 and y = 18.

 

She worked 15 hours at job A, and

 

18 hours at job B.