SOLUTION: woman has two jobs.one pays 8 an hr.second job pays 12 a hr. she works both jobs for 30 hrs. she earns 268 dollars from working the jobs. how many hrs. of each job out of 30 hrs

Question 1022204: woman has two jobs.one pays 8 an hr.second job pays 12 a hr.
she works both jobs for 30 hrs.
she earns 268 dollars from working the jobs.
how many hrs. of each job out of 30 hrs.did she work to earn 268$ ?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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E=hours at $8; T=hours at $12
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E+T=30hrs
E=30hrs-T
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$8E+$12T=$268
$8(30-T)+$12T=$268
$240-$8T+$12=$268
$4T=$28
T=7
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E=30-T=30-7=23
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ANSWER: 23 hours worked at $8, and 7 hours at $12.
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CHECK:
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$8E+$12T=$268
$8(23)+&12(7)=$268
$184+$84=$268
$268=$268
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