If 22% of all students buy both milk and fruit, which of the following represents the percent of students who buy neither?

Question

Over the span of a month, a school tracks student choices at lunch. They find that 56% of all students buy milk with lunch and 32% buy a piece of fruit. If 22% of all students buy both milk and fruit, which of the following represents the percent of students who buy neither?

Answer 1

You can draw a Venn Diagram. You will notice that 34% bought only Milk, 22% both and 10% only Fruit. Together it is 66%. Therefore the percentage that bought neigher = 100% -66% = 34%