SOLUTION: Fred, Tiger, and Nancy play a round of golf together. Their combined score is 223. Fred's score was 3 more than Nancy's and Tiger's score was 7 more than Freds. What was each perso

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Question 152715: Fred, Tiger, and Nancy play a round of golf together. Their combined score is 223. Fred's score was 3 more than Nancy's and Tiger's score was 7 more than Freds. What was each persons score?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Remember:
Fred's score=F
Nancy's score=N
Tiger's score=T
F%2BN%2BT=223 -----------------------------> eqn 1
But,
F=N%2B3,------> eq 2, Fred's score is 3 more than Nancy
and T=F%2B7----> eqn3, Tiger scored 7 more than Fred
IN eqn 2, we get N=F-3 -------> eq 4
We put eqn 3 and eqn 4 in eqn 1:
F%2BF-3%2BF%2B7=223
3F=223%2B3-7
3F=219 ---------> cross%283%29F%2Fcross%283%29=cross%28219%2973%2Fcross%283%29
F=73
via eqn 4: N=73-3=70
via eqn 3: T=73%2B7=80
In doubt? go back eqn 1:
73%2B70%2B80=223
223=223
Thank you,
Jojo