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If you have two jobs. One job pays 7 per hour and the other pays 8.25 per hour. You worked 22 hours total last week and earned 171.50. How many hours did you work at each job?
Wiki User
∙ 6y ago
You can create simultaneous equations : 2 equations that when solved will give your answer
Need to calculate 7a + 8.25b = 171.50 ( this calculates the pay)
and a + b = 22 (the amount of hours worked )
a is the amount of hours worked at the 1st job, b the amount of hours worked in the 2nd job
so:
7a + 8.25b = 171.50 (formula 1)
a + b =22 (formula 2)
SO multiply formula 2 by 7 to give
7a + 7b = 154 (call this formula3)
Now if you take away formula 3 from formula 1 you get
1.25b = 17.50
so b = 17.50 /1.25 = 14 hours
therefore going back to formula 2 : a + 14 = 22 , therefore a is 8 hours
So in the 2nd job the person worked 14 hours and therefore in the 1st job the person worked 8 hours (= 22-14).
Wiki User
∙ 6y ago
Wiki User
∙ 6y ago8 hours at the job paying 7 per hour and 14 at the other.
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