Question

During a volleyball lounge, a team scored 36 goals. If the team had played five matches less, its goal average would have been exactly four goals per game. How many matches had the team played?​

Answer 1

Answer: 14

Explanation:

Let's call the number of matches the team played "x".

We know that the team scored 36 goals in total, and if they had played five matches less, their goal average would have been exactly four goals per game. We can use this information to set up the following equation:

(36 goals) / (x - 5 matches) = 4 goals per match

To solve for x, we need to isolate x on one side of the equation. To do this, we can multiply both sides of the equation by (x - 5):

36 = 4(x - 5)

36 = 4x - 20

56 = 4x

Now we can divide both sides of the equation by 4:

x = 14

Therefore, the team played 14 matches in total.