Jack and Jill invented a Trivia game in which a player can score 0,6 or 11 points on each turn.each player must take at least one turn.write an equation for a total score of 45 points in the game.
To find an equation for a total score of 45 points in the game, we need to determine the number of turns each player takes and the points they can score.
Let's denote the number of turns Jack takes as "x" and the number of turns Jill takes as "y". Each turn can score 0, 6, or 11 points.
From the given information, we know that each player must take at least one turn. Therefore, the minimum number of turns for each player is 1. This gives us the following constraints:
x ≥ 1
y ≥ 1
We need to form an equation to represent a total score of 45 points. Jack scores 0, 6, or 11 points per turn, so the points he scores can be represented as 0x, 6x, or 11x.
Similarly, Jill's points can be represented as 0y, 6y, or 11y.
To form the equation, we can use the given information that the total score is 45 points. Therefore, the equation becomes:
0x + 6x + 11x + 0y + 6y + 11y = 45
Combining like terms:
17x + 17y = 45
So, the equation for a total score of 45 points in the game is 17x + 17y = 45, subject to the constraints x ≥ 1 and y ≥ 1.