Example 34 A college awarded 38 medals in football, 15 in basketball and 20 in
cricket. If these medals went to a total of 58 men and only three men got medals in all
the three sports, how many received medals in exactly two of the three sports?
how did u get 38+15+20=67??
Answers
Answer:
No. of students who received medals is exactly 2 out of 3 sports = 18. A college awarded 38 medals in football, 15 in basketball and 20 in cricket.
Step-by-step explanation:
Football = 38
Basketball = 15
cricket = 20
Total men = 58
Total medals = 38 + 15 + 20 = 73
Since, 3 men got medals in all 3 sports = 9medals and 3men
Medals remaining = 73 - 9 = 64
Men remaining = 58 - 3 = 55
Now, the No. of medals is more then no. of men
So, we can say that some of remaining men have won 2 medals
Also we know that all of the men have atleast a single medal
Giving 1 medal to remaining men
medals remianing after giving 1 medal to all remaining men = 64 - 55 = 9
Now 9 medals remain which will be given to the men who won 2 medals
Finally,
the men who got 2 medals will be 9 as we have already given a single medal to all of them.
Answer:
Men with 3 medals = 3
Men with 2 medals = 9
Men with 1 medal = 55 - 9 = 46
(Noice Question BTW)
(Just a Thanks for all this pls)