50 children have a choice of beans, plantain and rice. 21 of them took beans, 24 took plantains and 18 took rice, 3 took beans only, 9 took plantains only, 2 took rice only and 5 took all three items of food. Illustrate it in a Venn diagram, find the number of children took plantain only, rice and beans only, non of the three items
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14 took none
14 took none of the food
?? You say
9 took plantains only
find the number of children took plantain only
well, duh -- 9
So, did you fill in your Venn diagram?
If we let
x = # who took beans and plantains only
y = # who took plantains and rice only
z = # who took beans and rice only
then we have
x+z+5+3 = 21
x+y+5+9 = 24
y+z+5+2 = 18
now solve for x,y,z
18 took none of these