Question

n a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three teams was 476 points. Which statement about the number of points is true?

Answer 1

Answer:

d. Team C scored 130 points.

Step-by-step explanation:

I took the test and got it right.

Step 1: Write down the equation. (3x + 6) + (x + 45) + x = 476.

Step 2: Add like terms. 5x + 51 = 476.

Step 3: Subtract 51 from both sides to isolate the variable. 5x + 51 - 51 = 476 - 51 is converted to 5x = 425.

Step 4: Divide both sides by 5 to find x. You get 85 so x = 85.

After finding x substitute x for 85 and check each statement.

(3 × 85 + 6) equals 261 so a. and b. are wrong.

(85 + 45) equals 130 so c. is wrong. d. is the right answer.

Answer 2

To solve this problem we want to let X equal the amount of points that team A scored. Now we want to express the amount of points that team B scored in terms of X. If team A scored 7 more points than team B then team B scored X-7 points. We know that together they scored 163 points so we can set up this equation: x + x - 7 = 163 2x - 7 = 163 2x = 155 X = 78 Team A scored 78 points