SOLUTION: madeline worked 6 more overtime hours then jabob one week. if madeline worked 3 overtime hours for every 2 overtime hours that jacob worked, for how many hours of overtime did each

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Question 1020283: madeline worked 6 more overtime hours then jabob one week. if madeline worked 3 overtime hours for every 2 overtime hours that jacob worked, for how many hours of overtime did each person work
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Madeline's number of OT hrs
Let +j+ = Jabob's number of OT hrs
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(1) +m%2Fj+=+3%2F2+
(2) +m+=+j+%2B+6+
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(1) +m+=+%283%2F2%29%2Aj+
Substitute (2) into (1)
(1) +j+%2B+6+=+%283%2F2%29%2Aj+
(1) +2j+%2B+12+=+3j+
(1) +j+=+12+
and
(2) +m+=+j+%2B+6+
(2) +m+=+12+%2B+6+
(2) +m+=+18+
Madeline worked 18 hrs OT
Jabob worked 12 hrs OT
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check:
(1) +m%2Fj+=+3%2F2+
(1) +18%2F12+=+3%2F2+
(1) +3%2F2+=+3%2F2+
OK