SOLUTION: A man bought two lots for the same price. He sold one at a profit of $3,000 and the other at a loss of $1,500, receiving twice as much for the first lot as for the second. What did

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A man bought two lots for the same price. He sold one at a profit of $3,000 and the other at a loss of $1,500, receiving twice as much for the first lot as for the second. What did      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 38958: A man bought two lots for the same price. He sold one at a profit of $3,000 and the other at a loss of $1,500, receiving twice as much for the first lot as for the second. What did each lot cost?
(this is not from a textbook) Thank You

Found 2 solutions by fractalier, Nate:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be what he bought the lots for.
He sold the first for x + 3000.
He sold the second for x - 1500.
The problem says the first amount was twice the second, so we have
x + 3000 = 2(x - 1500)
x + 3000 = 2x - 3000
x = $6000

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Define variable:
x = lot's cost
p = price when sold
Define equations:
3000 = 2p - x
-1500 = p - x
Combine:
2p+-+x+-+3000+=+0
+
-p+%2B+x+-+1500+=+0
=
p+-+4500+=+0
Price when sold is $4,500. Each lot cost him $6000.