story problem

Question

In a saber fencing cometition involving 7 competitors Jill won twice as many bouts as bryan while boris won 1 more than Jill. Dieter ended with 3 times more than Bryan. How many bouts did Jill, Boris, and Bryan win? 42 bouts total and Boris and Dieter cant have the same score

Answer 1

are you missing information? there are only 4 competitors mentioned out of 7....

There is more then one answer with the information given. 

Let Bryan=Y

Jill=2Y

Boris = Jill + 1= 2Y +1

Dieter = 3Y

 

For Y=1

Bryan 1

Dieter 3

Jill 2

Boris 3, but since boris and dieter cant have the same amount, you cannot use Y=1

So for Y=2.... Bryan 2, Jill 4, Boris 5, Dieter 6.  Total games - 17

Y=3.... Bryan 3, Jill 6, Boris 7, Dieter 9  Total games - 25

Y=4.... Bryan 4, Jill 8, Boris 9, Dieter 12. Total games - 32

and so on....

since we don't know how many total games THESE 4 competitors won....

as long as the total games is under 42, the answer is correct.