After `9` games, the mean number of goals scored by a football team is `3`.If after one more game
the new mean value of goals scored is `2.9`, how many goals did they score in this game?

Options

A. `3`
B. `2`
C. `1`
D. `4`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the total goals scored in the first 9 games.
Given that the mean number of goals scored after 9 games is 3, we can calculate the total goals scored in these games.

\[ \text{Total goals} = \text{Mean} \times \text{Number of games} = 3 \times 9 = 27 \]

### Step 2: Understand the new scenario after 10 games.
After one more game, the new mean is given as 2.9. This means we now have a total of 10 games.

### Step 3: Calculate the total goals scored after 10 games.
Using the new mean, we can find the total goals scored after 10 games.

\[ \text{New Total Goals} = \text{New Mean} \times \text{New Number of Games} = 2.9 \times 10 = 29 \]

### Step 4: Determine the goals scored in the 10th game.
Now, we know the total goals scored in the first 9 games (27 goals) and the total goals after 10 games (29 goals). We can find out how many goals were scored in the 10th game by subtracting the total goals after 9 games from the total goals after 10 games.

\[ \text{Goals in 10th game} = \text{New Total Goals} - \text{Total Goals after 9 games} = 29 - 27 = 2 \]

### Final Answer:
The football team scored **2 goals** in the 10th game.

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