SOLUTION: A chef spend $540.00 on tomatoes. If the price per kilo of tomatoes can be reduced by $2.00 per kilo, he could have bought 3 more kilos. What is the original price per kilo of toma

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A chef spend $540.00 on tomatoes. If the price per kilo of tomatoes can be reduced by $2.00 per kilo, he could have bought 3 more kilos. What is the original price per kilo of toma      Log On

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Question 1051038: A chef spend $540.00 on tomatoes. If the price per kilo of tomatoes can be reduced by $2.00 per kilo, he could have bought 3 more kilos. What is the original price per kilo of tomatoes?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Originally,
1.P%5B1%5D%2AK=540
then,
2.%28P%5B1%5D-2%29%2A%28K%2B3%29=540
From eq. 1,
P%5B1%5D=540%2FK
Substituting,
%28540%2FK-2%29%28K%2B3%29=540
540%2B1620%2FK-2K-6=540
1620%2FK-2K-6=0
-2K%5E2-6K%2B1620=0
K%5E2%2B3K-810=0
%28K%2B30%29%28K-27%29=0
K must be positive, so only one solution works,
K-27=0
K=27
So then,
P%5B1%5D=540%2F27
P%5B1%5D=20
She originally bought 27 kilos at $20/kilo.