Counting Carnivores Math Brainteaser (Beginning Algebra)

[Otis]

A large dinner party is being given for 64 people, all of whom are either vegetarians or meat-eaters. Eleven of the dinner guests are male vegetarians; 41 guests are meat-eaters; and 39 of the guests are women. How many guests are female meat-eaters?

Spoiler: HINT

I used a rectangular Venn diagram, to organize the information and write equations.

[imath]\;[/imath]

 

[Harry_the_cat]

Spoiler

	Male​	Female​	Totals​
Meat-eater​	14 (2nd)​	27 (3rd)​	41​
Vegetarian​	11​
Totals​	25 (1st)​	39​	64​

Bold is what we are given.
Red is what we can then work out (in the order shown).

27 female meat-eaters

 

[Otis]

Spoiler

	Male​	Female​	Totals​
Meat-eater​	14 (2nd)​	27 (3rd)​	41​
Vegetarian​	11​
Totals​	25 (1st)​	39​	64​

Bold is what we are given.
Red is what we can then work out (in the order shown).

27 female meat-eaters

Ya got it. Nice explanation.



[imath]\;[/imath]