In a quiz, team A scored `(-40), 10, 0` and team B scored `10, 0, (-40)` in three successive rounds. Which team scored more?
In a quiz, team A scored `(-40), 10, 0` and team B scored `10, 0, (-40)` in three successive rounds. Which team scored more?
A
Team A
B
Team B
C
Both scored equal
D
Cannot be determined
Text Solution
AI Generated Solution
The correct Answer is:
To determine which team scored more in the quiz, we will calculate the total scores for both teams A and B.
### Step 1: Calculate Team A's Total Score
Team A's scores are:
- Round 1: -40
- Round 2: 10
- Round 3: 0
Now, we will add these scores together:
\[
\text{Total Score of Team A} = (-40) + 10 + 0
\]
### Step 2: Perform the Addition for Team A
First, add -40 and 10:
\[
-40 + 10 = -30
\]
Now, add 0:
\[
-30 + 0 = -30
\]
So, the total score for Team A is:
\[
\text{Total Score of Team A} = -30
\]
### Step 3: Calculate Team B's Total Score
Team B's scores are:
- Round 1: 10
- Round 2: 0
- Round 3: -40
Now, we will add these scores together:
\[
\text{Total Score of Team B} = 10 + 0 + (-40)
\]
### Step 4: Perform the Addition for Team B
First, add 10 and 0:
\[
10 + 0 = 10
\]
Now, add -40:
\[
10 + (-40) = 10 - 40 = -30
\]
So, the total score for Team B is:
\[
\text{Total Score of Team B} = -30
\]
### Step 5: Compare the Scores
Now we compare the total scores of both teams:
- Total Score of Team A = -30
- Total Score of Team B = -30
Since both teams have the same total score of -30, we conclude that:
\[
\text{Both teams scored the same.}
\]
### Final Answer
Neither team scored more; both teams have the same score of -30.
---
To determine which team scored more in the quiz, we will calculate the total scores for both teams A and B.
### Step 1: Calculate Team A's Total Score
Team A's scores are:
- Round 1: -40
- Round 2: 10
- Round 3: 0
...
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