Browse · MATH
Printjmc
prealgebra senior
Problem
100 people who were surveyed and asked the question: ``Is fuchsia kinda pink, or purply?'' Of them, 60 believe that fuchsia is ``kinda pink'' and 27 believe it is both ``kinda pink,'' and also ``purply.'' Another 17 think that fuchsia is neither ``kinda pink'' nor ``purply.''
How many of those 100 people believe that fuchsia is ``purply''?
How many of those 100 people believe that fuchsia is ``purply''?
Solution
We can answer this question with a Venn diagram. First we know that the intersection of ``kinda pink'' and ``purply'' contains 27 people. We also know that 17 people fall outside both circles. Since the ``kinda pink'' circle must contain 60 people total, people must believe fuchsia is ``kinda pink,'' but not ``purply.'' Of the 100 people, people are accounted for, so the remaining 23 people must believe that fuchsia is ``purply'' but not ``kinda pink.'' The total number of people who think fuchsia is ``purply'' is .
Final answer
50