SOLUTION: A family wants to share 199000 $ won in the lottery between mom, dad and the kids so that the mother has $ 15000 more than the dad, and the dad $ 20000 more than the kids. Find the

Algebra ->  Human-and-algebraic-language -> SOLUTION: A family wants to share 199000 $ won in the lottery between mom, dad and the kids so that the mother has $ 15000 more than the dad, and the dad $ 20000 more than the kids. Find the      Log On


   

Question 108759: A family wants to share 199000 $ won in the lottery between mom, dad and the kids so that the mother has $ 15000 more than the dad, and the dad $ 20000 more than the kids. Find the share of mom, dad and kids.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
D - Dad's share
M - Mom's share
K - Kids' share
1.D%2BM%2BK=199000
2.M=15000%2BD
3.D=20000%2BK
Let's substitute equation 3 into equation 2.
2.M=15000%2BD
M=15000%2B%2820000%2BK%29
M=35000%2BK%29
Now we can substitute for values in equation 1.
1.D%2BM%2BK=199000
%2820000%2BK%29%2B%2835000%2BK%29%2BK=199000
55000%2B3K=199000
3K=144000
highlight%28K=48000%29
M=35000%2BK
M=35000%2B48000
highlight%28M=83000%29
D=20000%2BK
D=20000%2B48000
highlight%28D=68000%29
Verify the total as a check.
D%2BM%2BK=199000
68000%2B83000%2B48000=199000
199000=199000
True statement. Good answers.