Question

The Dallas Cowboys beat the Washington Redskins by 11 points, and the total score for both teams was 63 points. What was the score of the Dallas Cowboys?

a) 37 points
b) 26 points
c) 37 points
d) 52 points

Answer 1

To find the score of the Dallas Cowboys, we can set up a system of equations and solve them using the substitution method. The score of the Dallas Cowboys was 37 points.

Step-by-step explanation:

To find the score of the Dallas Cowboys, we can set up a system of equations. Let's represent the score of the Dallas Cowboys as 'x' and the score of the Washington Redskins as 'y'. We know that the Cowboys beat the Redskins by 11 points, so we have the equation x = y + 11. We also know that the total score for both teams was 63 points, so we have the equation x + y = 63.

Now we can solve this system of equations. We can use substitution or elimination method to find the value of 'x' (the score of the Dallas Cowboys). Let's use the substitution method:

1. From the equation x = y + 11, substitute this expression for 'x' in the equation x + y = 63:
   x + (x - 11) = 63
2. Simplify the equation:
   2x - 11 = 63
3. Add 11 to both sides of the equation:
   2x = 74
4. Divide both sides of the equation by 2:
   x = 37

Therefore, the score of the Dallas Cowboys was 37 points.