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 two Answer by Fombitz(32388) (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
