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The Titans Basketball Team scored 10 three-pointers, 8 two-point shots, and 12 one-point foul shots.  The Raiders Basketball Team scored 8 three-pointers, 12 two-point shots, and 11 one-point foul shots.  The following expression can be used to find the number of points the TEAM won by.(8 • 3 + 12 • 2 + 11) – (10 • 3 + 8 • 2 + 12) Based on this expression, how many points did the Raiders win by?

Question

The Titans Basketball Team scored 10 three-pointers, 8 two-point shots, and 12 one-point foul shots.  The Raiders Basketball Team scored 8 three-pointers, 12 two-point shots, and 11 one-point foul shots.  The following expression can be used to find the number of points the TEAM won by.(8 • 3 + 12 • 2 + 11) – (10 • 3 + 8 • 2 + 12) Based on this expression, how many points did the Raiders win by?

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Solution

To find out how many points the Raiders won by, we need to calculate the total points for each team first, and then subtract the Titans' total from the Raiders' total.

Step 1: Calculate the total points for the Titans The Titans scored 10 three-pointers, 8 two-point shots, and 12 one-point foul shots. So, their total points are (10 * 3) + (8 * 2) + 12 = 30 + 16 + 12 = 58 points.

Step 2: Calculate the total points for the Raiders The Raiders scored 8 three-pointers, 12 two-point shots, and 11 one-point foul shots. So, their total points are (8 * 3) + (12 * 2) + 11 = 24 + 24 + 11 = 59 points.

Step 3: Subtract the Titans' total from the Raiders' total The number of points the Raiders won by is 59 - 58 = 1 point.

So, the Raiders won by 1 point.

This problem has been solved

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