SOLUTION: The ratio of Bill's Money to Henry money was 5:6. After Bill spent $800 on a tv set, the ratio became 1:2. How much money did Bill have at first ?

Question 984022: The ratio of Bill's Money to Henry money was 5:6. After Bill spent $800 on a tv set, the ratio became 1:2. How much money did Bill have at first ?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
he has 5x dollars to 6x dollars. or (5/6) x to x, if you wish. I will remove the fraction.
5x-800 is to 6x as 1:2
Cross-multiply
6x=2(5x-800)
6x=10x-1600
-4x=-1600
x=$400
So Bill started with $2000 (the answer) and Henry with $2400.
After spending $800, Bill had $1200, which is half of $2400.

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