In a class of 100 students there are 50 who play soccer, 45 who play basketball, and 50 who play volleyball. Only 15 students play all three sports. Everyone plays at least 1 sport. How many students play at least two of these sports?
2007-11-19 11:46:02 · 10 answers · asked by Anonymous in Entertainment & Music ➔ Jokes & Riddles
so lets see 50 soccer 45 bball and 50 vball.
50 + 45 + 50 = 145
15 students play all 3 sports so 15 x 3 = 45
45 were counted for 15 students so..
145 - 45 = 100 left
100 students - the 15students = 85 students left
if all 85 students played at least one sport then..
100 - 85 = 15 sports left
so (15kids x 3sports) + (15kids x 2sports) + (70kids x 1sports) =
45 + 30 + 70 = 145
so what is the number of students that played 2 sports..
would be 15.
my answer would be 15. don't know if it's right though
2007-11-19 12:02:59 · answer #1 · answered by Anonymous · 0⤊ 1⤋
This is a mathematics question and I was taught how to solve it. Unfortunately I had not get it well, as it was complicated.
15 play 3 games:
145-15=115 play one and two games
115-100=15 play two games
At least 2 games will be played by 15+15=30 students
2007-11-19 20:03:51 · answer #2 · answered by Suzan K 5 · 0⤊ 1⤋
Soccer will be represented by "s"; s = 50 players.
Basketball will be represented by "b"; b = 45 players.
Volleyball will be represented by "v"; v = 50 players.
X = Two Game Players.
[all students = s + b + v - x [see above] - x - x + Three Game Players.]
100 = 50 + 45 + 50 - x - x - x + 15
100 = 160 - 3x + 15
3x = 60
x = 20
So, 20 students play at least two games?
I am positive my math isn't correct.
Sorry. I gave it a shot.
2007-11-19 20:02:52 · answer #3 · answered by Anonymous · 0⤊ 1⤋
15 at least play 3 but also play 2 right?
2007-11-19 20:01:49 · answer #4 · answered by jayz_tier02 3 · 0⤊ 1⤋
I think it's 30.
145 sport-player slots
100 total students, each playing at least 1
That leaves 45 player-slots with more than 1
Take away 15 player-spots for those that play 3
That leaves 30 students who play at least 2
I think..but I'm not usually good at these...
2007-11-19 20:10:38 · answer #5 · answered by Chris C 5 · 0⤊ 1⤋
15 students ?
I was just guessing !
- JB Fan <3
2007-11-19 20:23:15 · answer #6 · answered by M 6 · 0⤊ 1⤋
I think 15.
2007-11-19 19:49:11 · answer #7 · answered by Natalie 3 · 1⤊ 1⤋
40?
2007-11-19 19:56:49 · answer #8 · answered by Watsit 5 · 0⤊ 1⤋
70?
2007-11-19 19:50:08 · answer #9 · answered by blondie 2 · 0⤊ 1⤋
just quessing, 60
2007-11-19 19:51:06 · answer #10 · answered by Anonymous · 0⤊ 1⤋