Kick-it Soccer club is sending 5 of their soccer teams to a professional soccer game. Each team has 15 players and 2 coaches. The vans they are taking to the game hold a maximum of 18 people. The soccer club ordered 4 vans to take all of the players and coaches.
Answers
Answer:
The question is incorrect. I assume that the required answer is the number of people playing football and hockey
There are 4 groups of people:
The ones who play only football
The ones who play only hockey
The ones who play both (let us assume this to be x)
The ones who play none (We are told this is 10)
Now, we know the total number of people is 50
Therefore, the number of people who play at least one sport is 50 less the number of people who play NO SPORT
ie. 50-10= 40
Now, we know that
the number of people who play Hockey is 25
the number of people who play Football is 35
Adding up these two numbers gives us 40 plus the number of people who play both sport (Since the overlap zone is being considered twice)
Thus,
35+25=40+x
=> x= 20
Therefore
No. of people playing only football: 35-x= 35-20= 15
No. of people playing only hockey: 25-x= 25-20= 5
No. of people playing both: 20
No. of people playing none: 10
Simple!
Note; This is best solved using a Venn Diagram, that makes it very clear. I'll upload one if I can find it.
~O
Step-by-step explanation: