SOLUTION: Starting with a full bucket of dirt, Sandra pours three fourths of the dirt out. Billy sees this and decides to replace two thirds of the dirt that Sandra poured out. The bucket

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Question 709762: Starting with a full bucket of dirt, Sandra pours three fourths of the dirt out. Billy sees this and decides to replace two thirds of the dirt that Sandra poured out. The bucket then falls over in an earthquake, spilling 20% of the remaining dirt. What PERCENTAGE of the original amount of dirt is left in the bucket?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = original amount of dirt
+%283%2F4%29%2Ax+ is poured out, and
+%281%2F4%29%2Ax+ remains in the bucket
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+%282%2F3%29%2A%283%2F4%29%2Ax+=+%281%2F2%29%2Ax+ is poured back in
+%281%2F4+%2B+1%2F2%29%2Ax+=+%283%2F4%29%2Ax+ is now in the bucket
20% is spilled out, so 80% remains
80% = +4%2F5+
+%284%2F5%29%2A%283%2F4%29%2Ax+=+%283%2F5%29%2Ax+
+3%2F5 = 60%
60% of the original dirt remains in the bucket