Question

Construct a 3-set Venn diagram using the following information. Title your universe and label the three sets properly. Each of the eight regions should be labeled with its proper quantity. Your solution must also include the quantities for (a) through (g).

There are a number of guests in a party. Sixty are Republicans. Twenty-seven are Martians. And seven are Martian, Republican cats.

(a) The number of cats only is 200 percent more than the number of Martians minus half of Republicans.

(b) The number of feline Martians is 3 more than Martian, Republican cats.

(c) The number of Martian, Republican cats is seventy-five percent less than the number of feline Republicans.

(d) The number of Republican Martians is three times the non-Republican, feline Martians.

(e) How many cats are there?

(f) The number of non-Martian cats is four times those who are non-Martian, non-Republican and non-feline.

(g) What is the total number of guests?

(h) What is the total number of guests who belong to exactly one of the three groups, i.e. Republicans only or cats only or Martians only?

Answer 1

0h cl e th 5 NDt (2

line mmihitms is 3 mone 21 line ic Mnhns ls thnee times ev-Republi Ctd=3(5) -)

4 144 era et a - 96