Question

A baseball team has ice-cream to celebrate a win. 13 players eat chocolate topping, 10 eat strawberry, 12 eat pineapple, 4 eat both chocolate and strawberry, 5 eat both strawberry and pineapple, 7 eat both chocolate and pineapple and 3 eat all three toppings. How many players are on the team?

Answer 1

--------------------

Explanation:

--------------------

Answer 2

13 players

Explanation:

Let

n = number of players on the team

c = number of players who eat chocolate

s = number of players who eat strawberry

p = number of players who eat pineapple

a = number of players who eat all toppings

13 players eat chocolate topping

c = 13

10 eat strawberry

s = 10

12 eat pineapple

p = 12

So far,

n = c + s + p = 35

4 eat both chocolate and strawberry

n = 35 -4 = 31

5 eat both strawberry and pineapple

n = 31 - 5 = 26

7 eat both chocolate and pineapple

n = 26 - 7 = 19

3 eat all three toppings

n = 19 - 3 -3 = 13