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?

1 Answer

Answer :

You can create simultaneous equations : 2 equations that whensolved will give your answerNeed to calculate 7a + 8.25b = 171.50 ( this calculates thepay)and a + b = 22 (the amount of hours worked )a is the amount of hours worked at the 1st job, b the amount ofhours worked in the 2nd jobso:7a + 8.25b = 171.50 (formula 1)a + b =22 (formula 2)SO multiply formula 2 by 7 to give7a + 7b = 154 (call this formula3)Now if you take away formula 3 from formula 1 you get1.25b = 17.50so b = 17.50 /1.25 = 14 hourstherefore going back to formula 2 : a + 14 = 22 , therefore a is8 hoursSo in the 2nd job the person worked 14 hours and therefore inthe 1st job the person worked 8 hours (= 22-14).

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