Question

Eleanor is working her way through school. She works two part-time jobs for a total of25 hours a week. Job A pays$6.00 per hour, and Job B pays$6.80 per hour. How many hours did she work at each job the week that she made$159.60

Answer 1

She worked 13 hours in Job A and 12 hours in Job B.

Step-by-step explanation

Eleanor works two part-time jobs.

Both jobs take a total of 25 hours a week.

Let the number of hours worked in Job A be x.

Let the number of hours worked in Job B be y.

This means that:

x + y = 25 _____(1)

Job A pays $6.00 per hour and Job B pays $6.80 per hour.

The total she made that week was $159.60.

This means that:

6 ^ x + 6.8 * y = 159.60

=> 6x + 6.8y = 159.6 _____ (2)

We have two simultaneous equations:

x + y = 25 _____ (1)

6x + 6.8y = 159.6 ___(2)

From (1), we have that:

x = 25 - y

Put that in (2):

6(25 - y) + 6.8y = 159.6

150 - 6y + 6.8y = 159.6

150 + 0.8y = 159.6

Collect like terms:

0.8y = 159.6 - 150 = 9.6

y = 9.6 / 0.8

y = 12 hours

Recall that:

x = 25 - y

=> x = 25 - 12

x = 13 hours

Therefore, she worked 13 hours in Job A and 12 hours in Job B.