# SOLUTION: distibute 1000 so that one part has 3 times as large as the second one and the third has the sum of the other two

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 Question 102343: distibute 1000 so that one part has 3 times as large as the second one and the third has the sum of the other twoAnswer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!First Part + Second Part + Third Part = 1000 First Part = 3 x Second Part Third Part = First Part + Second Part Let's assign a variable to each part. X = First Part Y = Second Part Z = Third Part Your original equation. First Part = 3 x Second Part Third Part = First Part + Second Part Substitute for what you know, in terms of Y. \ Simplify. Use multiplicative inverse of 8. So then, First Part = 125 Second Part = 375 Third Part = 500