Dartboards.. work it out for me please


If I was to hit every segement on a dartboard how many would it total to

For instance

50
25
1 would be 7. Double 1, triple 1 and the segments either side of the triple..
 
It's an arithmetic sum
Logon or register to see this image


So it's essentially 2x21×20 /2
Then add the 25 & 50 to give 1545
Total of integers from 1 to n is n(n+1)/2, so 20*21/2=210. Every number has two singles a double and a treble (*7) = 210*7=1470. Plus the 25 and 50 = 1545.


Aye, it's a simple formula to work out for the Rachel Riley's of RTG. In simple non algebra format, I added 1 to 20, 2 to 19 etc to make 10 sets of 21, multiply the 21 by 7 giving 1470 and add the 75

Logon or register to see this image
 

Back
Top