SOLUTION: Theo has $5 more than Denise and Denise has $11 more than Rudy. Together they have $45. How much money does each person have?

Question 343550: Theo has $5 more than Denise and Denise has $11 more than Rudy. Together they have $45. How much money does each person have?
Found 2 solutions by checkley77, rfer:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
T=D+5
D=R+11
T+D+R=45
(D+5)+(R+11)+R=45
(R+11+5)+R+11+R=45
3R=45-11-5-11
3R=45-27
3R=18
R=18/3
R=$6 RUDY'S MONEY
D=6+11=$17 DENIS'S MONEY
T=17+5=$22 THEO'S MONEY.
PROOF:
6+17+22=45
45=45

Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
R=x=6
D=x+11=17
T=x+16=22
-------------
x+x+11+x+16=45
3x=18
x=6
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