If 70 out of 100 students play tennis, and 45 of the students play chess, what is the minimum number of students that play both tennis and chess?

Question

anonymous · Answer

15 I believe. However, not 100% sure, be sure to ask a teacher or an adult. ;)

anonymous · Answer

@Friends1 why do you think it's 15?

texaschic101 · Answer

x = who both play tennis and chess

tennis = 70 - x
chess = 45 - x

(70 - x) + x + (45 - x) = 100
70 + 45 - x = 100
115 - x = 100
-x = 100 - 115
-x = -15
x = 15

15 play both
tennis -- 70 - 15 = 55 play just tennis
chess -- 45 - 15 = 30 play just chess

15 + 55 + 30 = 100

answer: 15 play both tennis and chess

anonymous · Answer

Ah....I see.....Thank you so much! :)