Question

Last week, the LHS Girls Basketball Team beat Wise HS in a battle of ranked teams. Combined, the teams scored 58 points. LHS Team ended up winning the game by 6 points over Wise HS. What was the final score of each team?

Answer 1

To determine the final scores of each team, we set up a system of equations using the given total combined score and the winning margin. Solving this, we found LHS Girls Basketball Team scored 32 points, and Wise HS scored 26 points.

Step-by-step explanation:

The LHS Girls Basketball Team beat Wise HS by 6 points and the combined score was 58 points. To find the final score of each team, you can set up a system of equations. Let L be the score for LHS Girls Basketball Team, and W be the score for Wise HS.

From the question, we have two pieces of information that we can turn into equations:

1. L + W = 58 (the combined score of both teams)
2. L = W + 6 (LHS won by 6 points)

Using the second equation, we can substitute L in the first equation:

W + 6 + W = 58.

This simplifies to:

2W + 6 = 58.

Subtracting 6 from both sides, we get:

2W = 52.

Dividing both sides by 2 gives us:

W = 26.

Now that we know Wise HS scored 26 points, we can find LHS's score by adding 6:

L = 26 + 6 = 32.

Therefore, the final score for LHS Girls Basketball Team was 32 points and for Wise HS it was 26 points.