I often use a chart instead of a Venn diagram . . .75 pupils: 48 pupils like ready salted, 35 like cheese & onion.
i) If 7 pupils do not like either flavor, how many like both?
. . . Answer: 15
iia) What is the greatest possible number of pupils who could like both?
. . . Answer: 35
iib) What is the smallest possible number of pupils who could like both?
. . . Answer: 8
All correct . . . Good work!
Now this is the part that i cannot figure out:
The number of pupils who like both is twice the number who do not like either;
iii) What fraction of the pupils who like ready salted do not like cheese & onion?
We are told: .
Reading across, we can fill in the empty cells:
Reading down, we have two equations:
The chart becomes:
Now you can answer the question.