Question

After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her mother asks her to share some of the loot with her three younger brothers.
(A) How many different ways can she do this?

(B) How many different ways can she do this after her Mother asks her to give at least one of each type of candies to each of her brothers?

Answer 1

Answer:

4 ways.

Step-by-step explanation:

The total amount of candy she has is 15 + 9 = 24 pieces. She has three younger brothers, and 24 is divisible by 3 (24/3 = 8). 15 and 9 are also both divisible by 3 (15/3 = 5 and 9/3 = 3).

-She can give them each 5 tootsie rolls.

-She can give them each 3 twizzlers.

- She can give them each 5 tootsie rolls and 3 twizzlers (if she were to give them all of the candy)

- She can give them one of each which would leave her 12 tootsie rolls and 6 twizzlers (which is the best option if she's trying to save for herself)

I see 4 ways to do this, and 2 ways after her mother asks her to give at least 1 type of candy to each of them.