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
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.