Question

In 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

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

A + B + C = 476
A = 3B + 6
C = B + 45

now its just a matter of subbing..
A + B + C = 476
(3B + 6) + B + (B + 45) = 476...combine like terms
5B + 51 = 476
5B = 476 - 51
5B = 425
B = 425/5
B = 85 <== team B scored 85

A = 3B + 6
A = 3(85) + 6
A = 255 + 6
A = 261 <=== team A scored 261

C = B + 45
C = 85 + 45
C = 130 <=== team C scored 130