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In a boarding school, 40 inmates play soccer, 50 play basket ball and 65 play baseball. If 20 of them play both soccer and basket ball, 12 play basket ball and baseball and 18 play soccer and baseball what is the maximum and minimum number of students in the boarding school? Assume that inmates of the boarding school play at least one of the three games
a) max - 105 min -117
b) min -105 max -117
c) min -95 max-105
d) min-60 max -95
e) min -103 max- 117
a) max - 105 min -117
b) min -105 max -117
c) min -95 max-105
d) min-60 max -95
e) min -103 max- 117
05 Oct 2021, 15:33
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no one's going to comment on the, "in a boarding school the inmates ...."?
05 Oct 2021, 12:31
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all = 40 + 50 + 65 - 20 - 18 - 12 + Inmates that play all 3
=> all = 105 + All 3
So, if none plays all 3 of the sports we have 115 inmates.
And if 12 (maximum number that plays 2 sports => 12 play basket ball) plays all 3 sports, we have 117 inmates.
so, min 105 and max 117
=> all = 105 + All 3
So, if none plays all 3 of the sports we have 115 inmates.
And if 12 (maximum number that plays 2 sports => 12 play basket ball) plays all 3 sports, we have 117 inmates.
so, min 105 and max 117
