SOLUTION: one half of three fourths of a number is 20 more thn two fifths of the same number . what is the number

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Question 1049958: one half of three fourths of a number is 20 more thn two fifths of the same number . what is the number
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the unknown number
+%281%2F2%29%2A%283%2F4%29%2Ax+=+%282%2F5%29%2Ax+%2B+20+
+%283%2F8%29%2Ax+=+%282%2F5%29%2Ax+%2B+20+
Multiply both sides by +40+
+15x+=+16x+%2B+800+
+x+=+-800+
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check answer:
+%281%2F2%29%2A%283%2F4%29%2Ax+=+%282%2F5%29%2Ax+%2B+20+
+%281%2F2%29%2A%283%2F4%29%2A%28-800%29+=+%282%2F5%29%2A%28-800%29+%2B+20+
+%283%2F8%29%2A%28-800%29+=+-320+%2B+20+
+-300+=+-300+
OK