Question

During the 2005 football​ season, Team Tackle beat Team Sack by 24 points. If their combined scores totaled 56​, find the individual team scores.

Answer 1

Let x be score of Team Tackle, and y be the score of Team Sack.
"Team Tackle beat team Sack by 24 points" Can be represented by the expression x = y + 24
"Their combined scores totaled 56" can be represented by the expression x+y=56
We can now create a system:
x = y + 24 (1)
x + y = 56 (2)

Let's use the value of x from the equation (1) and replace it in equation (2):
x + y = y + 24 + y
2y + 24 = 56
Subtract 24 from each side so we can have the variable alone and the numbers alone:
2y = 32
Divide each side by 2 to find the value of y:
(2y)/2 = 32/2
y = 16.

In equation (1), x = y + 24. Let's replace y by it's value:
x = 16 + 24
x = 40.

So the score of Team Tackle is 40, and the score of Team sack is 16.

You can re-check your answer (very important):
40 + 16 = 56 (Their combined scores totaled 56)
16 + 24 = 40 (Team Tackle beat team Sack by 24 points)
The answer has been approved.

Hope this Helps! :)

Answer 2

Team tackle = 40 pts
team sack = 16 pts