Question

In

a class of 40 students, twice as
those who like toffees like biscuit.
5 people like toffees and biscuit.
a) Illustrate the information on the venn
diagram
b) How many
like toffees but not biscuit
• How many student like exactly one
of the items

Answer 1

A Venn diagram is used to illustrate the given information. The Venn diagram is illustrated below:

In the Venn diagram, the group of students who like toffees is represented by the left circle, while the group of students who like biscuits is represented by the right circle. The intersection of the two circles represents the group of students who like both toffees and biscuits.

a) There are 30 students who like toffees, but not biscuits. There are 10 students who like biscuits, but not toffees. The intersection of the two circles represents the 5 students who like both toffees and biscuits.

b) There are 25 students who like exactly one of the items (30 who like toffees but not biscuits, and 10 who like biscuits but not toffees).