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 was 476 points. Which statement about the number of points is true

Answer 1

d. Team C scored 130 points.

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

Team A scored 261 points.

Team B scored 85 points.

Team C scored 130 points.

Explanation:

Given that, team A scored 6 more points than 3 times as points as time B.

It means

A scored = 3 times of B scored +6

Team C scored 45 more than team B scored.

Team C scored=Team B scored + 45

Let team B scored x points.

Team A scored= 3x+6

Team C scored=x+46

The combined scores for all three team was 476 points.

Team A scored+Team B scored+Team C scored= 476

⇒3x+6+x+x+45 =476

⇒5x+51=476

⇒5x=476-51

⇒5x=425

`\Rightarrow x=(425)/(5)`

⇒x=85

Team B scored 85 points

Team A scored (3×85)+6=261 points

Team C scored (85+45)=130 points.