Four members of a school first eleven football team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams
11 + 14 = 25
25 - 4 = ?
21
To find the number of boys who play for at least one of the two teams, we need to add the number of boys who play for the football team and the number of boys who play for the rugby team, and then subtract the number of boys who play for both teams.
Let's assume that there are a total of N boys in the school.
Let's say F represents the number of boys in the first eleven football team and R represents the number of boys in the first fourteen rugby team.
According to the given information, we know that four boys are common between the football and rugby teams. Therefore, we can write the equation:
F + R - 4 = N
Now, if we want to find the number of boys who play for at least one of the two teams, we need to calculate the value of (F + R), which can be rearranged from the equation above as:
(F + R) = N + 4
Hence, the number of boys who play for at least one of the two teams is (N + 4).
To find the total number of boys who play for at least one of the two teams, we need to add the number of boys in each team and then subtract the number of boys who play both rugby and football.
Let's assume there are N boys in the football team and M boys in the rugby team.
Since four members are common to both teams, we can say that there are (N - 4) boys unique to the football team and (M - 4) boys unique to the rugby team.
To find the total number of boys who play for at least one of the two teams, we add the boys in the football team, the boys in the rugby team, and subtract the boys who play both:
Total = (N - 4) + (M - 4) + 4
Simplifying further, we have:
Total = N + M - 4
Therefore, the number of boys who play for at least one of the two teams is given by the sum of the number of boys in each team minus 4.