Answer:
Team A scored 261 points.
Team B scored 85 points.
Team C scored 130 points.
Step-by-step 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
[tex]\Rightarrow x=\frac{425}{5}[/tex]
⇒x=85
Team B scored 85 points
Team A scored (3×85)+6=261 points
Team C scored (85+45)=130 points.
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.
