For Billy’s birthday party his mother has baked 80 cookies. 40 cookies contain vanilla and 45 contains nuts, and 15 contain both. One of Billy’s friends, Jim, is allergic to both nuts and vanilla, but he loves cookies! What is the largest number of cookies that Jim can eat on Billy’s birthday? (Note that it is fine for Jim to smell nuts and vanilla as long as he is not eating anything that contains them.)

Question

contestada

Respuesta :

connor2021530 connor2021530 · Answer 1 · 2017-05-22T06:43:31+02:00

10 cookies since 15 are both and 45 - 15 = 30 and 30 + 40 = 70 then 80 - 70 = 10

Answer Link

onyebuchinnaji onyebuchinnaji · Answer 2 · 2022-04-25T17:29:10+02:00

The largest number of cookies that Jim can eat on Billy’s birthday from the given total 80 cookies baked is 10 cookies.

The number of nuts in the cookies is determined as follows;

number of nuts = 45 - 15 = 30 nuts

The number of nuts and vanilla in the cookies is determined as follows;

number of nuts and vanilla = 30 + 40 = 70

number of cookies alone = 80 - 70 = 10 cookies

Thus, the largest number of cookies that Jim can eat on Billy’s birthday from the given total 80 cookies baked is 10 cookies.

Learn more about union sets here: https://brainly.com/question/2166579