More darts at Morty's

[bonanova]

Alex, Davie and Jamie each tossed 6 darts last night in a friendly game at Morty's,

and surprisingly, each of them scored exactly 71 points.

Alex's first two shots scored 22 points while Davey got only 3 on his first toss.

Who hit the bull?

[Rob_Gandy]

Davie got the bullseye.

Alex: 25,20,20,3,2,1

Davie: 50,10,5,3,2,1

Jamie: 25,20,10,10,5,1

[bonanova]

Davie got the bullseye.

Alex: 25,20,20,3,2,1

Davie: 50,10,5,3,2,1

Jamie: 25,20,10,10,5,1

Yup.

[phaze]

I dont know but it was a shocking throw

Missed the dart board

Missied the side of the barn

Manged to find it's way through the barn door

And MOOOOOOOOOO

What followed was another excuse not to build a bar next to a farmyard

Edited September 11, 2012 by phaze

[bhramarraj]

Alex's first two shots scored 22 (20+2) points. Therefore, remaining four shots scored 71-22 = 49 points, so Alex had not hit the bull to score 50 points.

Davie scored 3 points on his first shot, so balance 71-3=68 points had been scored by him on remaining 5 shots. If on one shot he scored 50 points by hitting the bull than 68-50=18 points were scored by him on remaining four shots, which is possible if he scored 10+5+2+1 points on his remaining four shots.

From the figure we get the scored points on all shots by all the three:

1+1+1

2+2

3+3

5+5

10+10+10

20+20+20

25+25

50

From the above it is clear that Alex scored 20+2+ (49 on 4 shots= 25+20+3+1), to get score 71.

Similarly Davie scored 3+50+10+5+2+1, to obtain score 71.

Then Janie scored 25+20+10+10+5+1 to score 71points.

If We assume Jamie to had hit the bull than Davie could not score 3 points on any shot.

Therefore Davie hit the Bull.