Peter works two part time jobs. He is paid $6 er hour at job a and $9 per hour at job b. Last wee eter worked a total of 24 hours at both jobs and madr $189. Hobmny hours dud peter work at job a?

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tutorAnne tutorAnne · Answer 1 · 2021-02-10T01:26:46+01:00

Answer: Peter worked 9 hours at job a

Step-by-step explanation:

Step 1

Let the number of hours worked in job a = x

and number of hours worked in job b = y such that the total hours worked would be expressed as

x=y= 24 ---eqn 1

also since $6 and $9 dollar are paid per hour for the job and the total amount made is $189, it should be expressed as

6x + 9y =$189--- equation 2

Step 2

Now we have gotten two expressions to solve for number of hours, we can now solve

x+y= 24 ---eqn 1

6x + 9y =$189--- eqn 2

Using elimination method, we multiply equation 1 by 6 and subtract from equation 2

6x + 9y =189

-6x+6y=144

3y=45

y= 45/3 =15

To find x

x+y = 24

x+15=24

x= 24-15

x= 9

fff

Therefore Peter worked 9 hours at job a and 15 hours at job b