Ryan is working his way through school. He works two part-time jobs for a total of 28 hours a week. Job A pays $6.00 per hour, and Job B pays $6.50 per hour. How many hours did he work at each job the week that he made $175.00?

Ryan can determine how many hours he worked at each job by setting up and solving two equations: one for his total working hours and another for his total earnings.

Explanation:

To solve this problem, you can set up two equations based on the information given.

Since Ryan works a total of 28 hours per week at both jobs, we can express this as equation (1):

a + b = 28 , where a is the hours worked at Job A and b is the hours worked at Job B.

We also know that he makes $175 per week, which we can express as equation (2):

6a + 6.5b = 175 , since Job A pays $6.00 per hour and Job B pays $6.50 per hour.

Now, you can solve this system of equations simultaneously to find the values of a and b; i.e., the number of hours he worked at each job.

These equations can be solved either by substitution or by elimination.

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