Three friends share a full bag of jellybeans. mike took 1/3 of the jellybeans in the full bag, zac took 1/2 of the jellybeans in the full bag and kary took what was left. mike ate 1/2 of his jellybeans, zac ate 1/3 of his jellybeans and kary ate all of hers. if mike and zac now have a total of 45 jellybeans together, how many jellybeans did kary eat?

Kary ate 15 jellybeans.

Step-by-step explanation:

Let x be the total number of jellybeans,

According to the question,

Jellybeans taken by Mike =

Jellybeans taken by Zac  =

Jellybeans taken ( or eaten )  by Kary = Remaining jellybeans

Now, Mike ate 1/2 of his jellybeans, Zac ate 1/3 of his jellybeans,

So, the total jelly beans eaten by both Mike and Zac =

Remaining jellybeans contained by both Mike and Zac =

Again according to the question,

Hence, the jellybeans eaten by Kary = = 15