Question

You're having a breakfast party for 483 of your closet friends and 271 like chocolate donuts. In a dozen donuts, the probability of getting a chocolate donut is 1/5. How many dozen donuts would you have to buy to ensure that all 271 people get a chocolate donut?

Answer 1

In a dozen donuts the probability of getting a chocolate donut is 1/5, meaning 1/5 of the 12 donuts are chocolate donuts.

Step 1.- Calculate how much 1/5 out of 12 is:

`(1)/(5)(12)=(12)/(5)=2.4`

In each dozen we would get 2.4 chocolate donuts

Step 2.- Calculate how many dozen are needed to get 271 chocolate donuts.

We divide 271 by 2.4 to get the answer:

`(271)/(2.4)=112.92`

Step 3: We round the answer to the nearest integer value, and we need 113 dozens of donuts to ensure that all 271 people get a chocolate donut.

Answer: 113