Question

Guests at a winter-themed party were served snowball cookies, snowman cookies, and snowflake cookies. All of the guests who ate snowball cookies also ate snowman cookies. Three-fourths of the snowball eaters did not also eat snowflake cookies. There were six guests who ate snowflakes and snowmen. Of the snowflake-eaters who did not eat snowballs, half of them ate snowmen. Eighty percent of all the guests ate the snowman cookies. One guest was on a health kick and ate none of the cookies.

If there were more than 20 guests and less than 30 guests at the party, how many guests ate snowman cookies but did not eat snowball cookies or snowflake cookies?

Answer 1

draw a Venn diagram and start filling in the areas. You will find that the number of people who ate only snowflakes does not matter. You will find, however, that if b ate snowballs and m ate snowmen and f ate only snowflakes, then if the total people was x,
.2x = b-1+f
so, since x is a multiple of 5, then there were 25 people, 7 of whom ate only snowmen

Answer 2

The answer is supposed to be eight

Answer 3

I just don't know how to get it

Answer 4

S - did you follow Steve's advice?

Answer 5

yes