Question

during the 2019 season, team tackle beat team sack by 32 points. if their combined score totaled 74 points, find the individual team scores ( please show work on steps to getting answer )

Answer 1

Answer: The individual team scores are;

Team Tackle: 53 points and Team Sack: 21 points

Step-by-step explanation: The first step is to assign letters to the unknown variables which are teams tackle and sack. Let team sack be represented by x and team tackle be represented by y. This means x and y combined scored a total of 74 points.

However, the question also states that team tackle beat team sack by 32 points. This simply means that whatever team sack scored, team tackle had 32 points in addition to that of team sack. Hence, if team sack scored x points, then team tackle scored x + 32 points. We can express this as follows;

x + y = 74

Where y = x + 32, substitute for the value of y into the equation

x + x + 32 = 74

2x + 32 = 74

Subtract 32 from both sides of the equation

2x = 42

Divide both sides of the equation by 2

x = 21

The results show that team sack scored 21 points while team tackle (y) scored x + 32 points, that is, 21 + 32 points which equals 53 points

Answer 2

Answer: Team Sack scored 21 points

Team Tackle scored 53 points

Explanation:

If the points of team Sack as S, and the points of team Tackle are T

We know that:

Tackle team defeat Sack team by 32 points, this means:

T - S = 32

The combined scores add to 74 points.

S + T = 74

So we have two equations, we can isolate one variable in one of the equations and then replace it into the other equation.

Let's do it in the first equation:

T = 32 + S

Now we replace it in the other equation.

S + 32 + S = 74

2*S = 74 - 32 = 42

S = 42/2 = 21

Team Sack scored 21 points

T = 32 + S = 32 + 21 = 53

Team Tackle scored 53 points