SOLUTION: Thomas bought two cars at an auction.The first car cost him 2000 more than twice the price of the second car.The two cars cost him $14,000 total.how much did he pay for each car?

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Question 435724: Thomas bought two cars at an auction.The first car cost him 2000 more than twice the price of the second car.The two cars cost him $14,000 total.how much did he pay for each car?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
first car cost him 2000 more than twice the price of the second car
Let x and (2x + 2000) represent the prices of the second and first car respectitvely
Question states***
x + (2x + 2000) = $14,000
3x = 12,000
x = $4,000, the second car. The first car $10,000, (2*$4000 + $2000)
In reply to Your question:One may, in an example like this..
try various combinations adding up to $14,000,finding the one combination that
satisfies the criteria of one being $2000 more than twice the other.
Like $10,000 and $4,000 do.
However, using the criteria and assigning the x and (2x+2000)FIRST
and then putting those together for the sum...is the 'fastest and surest' way

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