SOLUTION: Ellen worked 12 more overtime hours than Andrew one week. If Ellen worked 8 overtime hours for every 5 overtime hours that Andrew worked, for how many hours of overtime did each p

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Question 1005718: Ellen worked 12 more overtime hours than Andrew one week. If Ellen worked 8 overtime hours for every 5 overtime hours that Andrew worked, for how many hours of overtime did each person work? Round your answer to the nearest tenth of an hour if necessary.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = overtime hrs that Andrew worked
+x+%2B+12+ = overtime hrs that Ellen worked
-------------------------------------
+%28+x+%2B+12+%29+%2F+x+=+8%2F5+
+5%2A%28+x+%2B+12+%29+=+8x+
+5x+%2B+60+=+8x+
+3x+=+60+
+x+=+20+
and
+x+%2B+12+=+20+%2B+12+
+x+%2B+12+=+32+
Ellen worked 32 hrs overtime
Andrew worked 20 hrs overtime
---------------------------
check:
+%28+x+%2B+12+%29+%2F+x+=+8%2F5+
+32+%2F+20+=+8%2F5+
+%28+8%2A4+%29+%2F+%28+5%2A4+%29+=+8%2F5+
+8%2F5+=+8%2F5+
OK