SOLUTION: Anna wanted to give $ 1.5 to Bella so that they would both have the same amount of money.In the end,however,Bella gave $ 1.5 to Anna instead .Anna ended up with 6 time as much mone

Algebra ->  Finance -> SOLUTION: Anna wanted to give $ 1.5 to Bella so that they would both have the same amount of money.In the end,however,Bella gave $ 1.5 to Anna instead .Anna ended up with 6 time as much mone      Log On


   

Question 995523: Anna wanted to give $ 1.5 to Bella so that they would both have the same amount of money.In the end,however,Bella gave $ 1.5 to Anna instead .Anna ended up with 6 time as much money as Bella .How much did Bella have in the end?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount Anna started with
Let +b+ = amount Bella started with
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given:
(1) +a+-+1.5+=+b+%2B+1.5+
(2) +b+-+1.5+=+%28+1%2F6+%29%2A%28+a+%2B+1.5+%29+
----------------------------
(1) +a+-+b+=+3+
and
(2) +6b+-+9+=+a+%2B+1.5+
(2) +-a+%2B+6b+=+10.5+
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Add the equations
(1) +a+-+b+=+3+
(2) +-a+%2B+6b+=+10.5+
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+5b+=+13.5+
+b+=+2.7+
and
(1) +a+-+b+=+3+
(1) +a+-+2.7+=+3+
(1) +a+=+5.7+
------------------
In the end, Bella had:
+b+-+1.5+=+2.7+-+1.5+
+b+-+1.5+=+1.2+
$1.2
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check:
(2) +b+-+1.5+=+%28+1%2F6+%29%2A%28+a+%2B+1.5+%29+
(2) +2.7+-+1.5+=+%28+1%2F6+%29%2A%28+5.7+%2B+1.5+%29+
(2) +1.2+=+7.2%2F6+
(2) +7.2+=+7.2+
OK