SOLUTION: Garden one has 9 more bushes of red currant than garden two. If 3 bushes were transplanted from garden two to garden one, then garden one would have 1.5 times more bushes than gard

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Question 1062549: Garden one has 9 more bushes of red currant than garden two. If 3 bushes were transplanted from garden two to garden one, then garden one would have 1.5 times more bushes than garden two. How many currant bushes are there in garden one?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the original number of bushes in garden 1
+x+-+9+ = the original number of bushes in garden 2
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+x+-+9+-+3+=+x+-+12+ = bushes in garden 2 after transplanting 3
+x+%2B+3+ = bushes in garden 1 after transplanting 3
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given:
+x+%2B+3+=+1.5%2A%28+x+-+12+%29+
+x+%2B+3+=+1.5x+-+18+
+.5x+=+21+
+x+=+42+
There are 42 current bushes in garden 1
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check:
+42+ = the original number of bushes in garden 1
+42+-+9+=+33+ = the original number of bushes in garden 2
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+42+-+12+=+30+ = bushes in garden 2 after transplanting 3
+42+%2B+3+=+45+ = bushes in garden 1 after transplanting 3
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+x+%2B+3+=+1.5%2A%28+x+-+12+%29+
+42+%2B+3+=+1.5%2A%28+42+-+12+%29+
+45+=+1.5%2A30+
+45+=+45+
OK