Solve the problem.
-In a game of chance, 12 cards numbered 1 to 12 are placed face down. The player who wins a card receives as many points as the number on the card. Player A wins cards 1 to 6 , and player B wins the remainder of the cards. Use an arithmetic series to find each player's score.
A) Player A: 21 points; Player B: 57 points
B) Player A: 6 points; Player B: 6 points
C) Player A: 23 points; Player B: 55 points
D) Player A: 21 points; Player B: 78 points

Question

Quizplus · Accepted Answer

Player A's score is the sum of an arithmetic series from 1 to 6, which is $ \frac{(1+6) \times 6}{2} = 21 $ points. Player B's score is the sum from 7 to 12, which is $ \frac{(7+12) \times 6}{2} = 57 $ points.

Solve the Problem. -In a Game of Chance, 12 Cards Numbered 1 to Numbered