MichiganDartTour

Mens dart club scores well with female guests

Dart Board PROBLEM! HELP !!!!!?

You have a dartboard with 2 sections possible point of points: 7 and 11. You have endless supply and darts, whats the highest score possible to get? I am lost! Wow! Thanks so much!

Let’s analyze this situation, noting what happens if we take a finite number of 11 darts and then throw darts 7 following: 0 * 11 + 7n = 0 + 7 (n + 0) 1 * 11 + 7n = 4 + 7 (n + 1) 2 * 11 + 7n = 1 + 7 (n + 3) 3 * 11 + 7n = 5 + 7 (n + 4) 4 * 11 + 7n = 2 + 7 (n + 6) 5 * 11 + 7n = 6 + 7 (n + 7) 6 * 11 + 7n = 3 + 7 (n + 9) ——— 7 * 11 + 7n = 0 + 7 (n + 11) 8 * 11 + 7n = 4 + 7 (n + 12), etc (modules continue to be done every 7 possibilities).

Let’s think what we showed. Basically, all numbers greater than or equal to 66 are possible. Why? The first equation shows that all numbers are equal to 0 mod 7 is possible. The second equation shows that all numbers are equal to 4 mod 7 (but greater than 1 * 7) is possible. The third equation shows that all numbers that are equal to 1 mod 7 (but more than 3 * 7) is possible. Etc. Finally, after 6 equations, beyond the point 65, we all modules of 7 decks and all back issues is possible. Actually we can go much further back, because the maximum number that would be impossible to be found by taking the 6 second equation: 6 * 11 + 7n = 3 + 7 (N + 9) realize that all n> = 0 is a possibility, we take n = -1, for 59. That’s the largest number that would be impossible. I’m not sure how to prove that is impossible, but we must go. Sorry.