SOLUTION: Brooke worked 9 more overtime hours than Derrick one week. If Brooke worked 12 overtime hours for every 5 overtime hours that Derrick worked, for how many hours of overtime did e

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Question 1130102: Brooke worked 9 more overtime hours than Derrick one week. If Brooke worked 12 overtime hours for every 5 overtime hours that Derrick 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 +b+ = Brooke's OT hrs
Let +d+ = Derrick's OT hrs
-----------------------------------
+b+=+d+%2B+9+
+b%2Fd+=+12%2F5+
+5b+=+12d+
and, by substitution:
+5%2A%28+d+%2B+9+%29+=+12d+
+5d+%2B+45+=+12d+
+7d+=+45+
+d+=+6.4286+
and
+b+=+6.4286+%2B+9+
+b+=+15.4286+
---------------------------------
Derrick worked 6.4 hrs OT
Brooke worked 15.4 hrs OT
---------------------------------
check:
+b%2Fd+=+12%2F5+
+15.4286%2F6.4286+=+12%2F5+
+2.39999+=+2.4+
OK