SOLUTION: And Estate of $1,000,000 is left to four siblings. The eldest is to recieve twice as much as the youngest. The other two siblings are each to recieve #16,000 more than the youngest

Algebra ->  Human-and-algebraic-language -> SOLUTION: And Estate of $1,000,000 is left to four siblings. The eldest is to recieve twice as much as the youngest. The other two siblings are each to recieve #16,000 more than the youngest      Log On


   

Question 324919: And Estate of $1,000,000 is left to four siblings. The eldest is to recieve twice as much as the youngest. The other two siblings are each to recieve #16,000 more than the youngest How much will each receive.

Found 2 solutions by vleith, JBarnum:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the amount the youngest receives.
Then the others will get:
x+16000
x+16000
2x
You are told the sum of all is 1,000,000
So
x+%2B+%28x%2B16000%29+%2B+%28x%2B16000%29+%2B+2x+=+1000000
4x+%2B+32000+=+1000000
4x+=+968000
x+=+242000
Use that to plug back in and get the sums the other three will get

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
Eldest Second Third Youngest
E=2Y
S=16000%2BY
T=16000%2BY
E%2BS%2BT%2BY=1000000 four siblings spliting 1million


solve for Y
%282Y%29%2B%2816000%2BY%29%2B%2816000%2BY%29%2BY=1000000
%282Y%29%2B%2832000%2B2Y%29%2BY=1000000
%2832000%2B5Y%29=1000000
%285Y%29=968000
%28Y%29=193600
%28E%29=397200
%28S%29=209600
%28T%29=209600