Question Video: Solving Word Problems Involving a Mean | Nagwa Question Video: Solving Word Problems Involving a Mean | Nagwa

Question Video: Solving Word Problems Involving a Mean Mathematics

In the soccer world cup, a team scored 32 total goals with a mean of 2 goals per game. How many games did they play in total?

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Video Transcript

In the soccer world cup, a team scored 32 total goals with a mean of two goals per game. How many games did they play in total?

In this question, we know that a soccer team scored 32 goals in total over a number of games. And the mean number of goals is two goals per game. We need to work out how many games they actually played. In this situation, we could write that the mean goals per game is equal to the total number of goals over the total number of games.

We can fill in the fact that we’re told that the mean goals per game is two, the total number of goals is 32, and the number of games is what we need to work out. Let’s call this value 𝑦. We now need to solve to find the value of 𝑦. So, if we multiply both sides of our equation by 𝑦, we would have two 𝑦 equals 32. To find 𝑦 then, we divide both sides of our equation by two, giving us the answer 16. And so, the number of games they played in total is 16.

We can check our answer by thinking that if we know that there are 32 goals in total and we’re saying that they played 16 games. Then the mean number of goals would be two. And so, we must have been correct that there are 16 games played in total.

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