SOLUTION: Problem says: A charity asked people attending a fundraiser cookout if they ate the salad, casserole or dessert. Of those surveyed, how many people ate dessert, but not casserole?

Algebra ->  Equations -> SOLUTION: Problem says: A charity asked people attending a fundraiser cookout if they ate the salad, casserole or dessert. Of those surveyed, how many people ate dessert, but not casserole?      Log On


   



Question 481418: Problem says:
A charity asked people attending a fundraiser cookout if they ate the salad, casserole or dessert. Of those surveyed, how many people ate dessert, but not casserole?
Here is the Venn diagram of the results:
http://www.flickr.com/photos/62474130@N03/6040495152/
Would you help me with this please? Thanks very much.

Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
All the numbers inside the purple (bottom) circle are people who ate dessert. All of the numbers inside the red (right) circle are people who ate casserole. In this problem, we really don't care about the green (left) circle, since nothing was asked about salad. We just want to know how many ate dessert (purple) but didn't eat casserole (red); thus, we're going to add up all the numbers that are INSIDE purple but NOT in red.

17, 5, 58, and 42 are all the numbers inside purple. However, 58 and 42 are also in red, so we don't want to count them; they ate both dessert and casserole, since they're in the overlap. The only ones who ate dessert but not casserole are 17 and 5. Add to get your answer: 17 + 5 = 22. 22 people ate dessert but not casserole.

Thank you for the link to your Venn diagram!