Answer:
He brought 3 dozen cookies
She ate 
of the bag of Doritos
She read 25 books
Step-by-step explanation:
∵ Mike makes 4 dozen cookies
∵ He brings 75% of them for a party at his school
- Multiply 75% by 4
∵ 75% = 
∴ He brought = 
× 4
∴ He brought = 3
He brought 3 dozen cookies
∵ Sam bought a bag of Doritos
∵ She ate only 40% of them
∵ 40% = 
∴ She ate = × 1
∴ She ate =
She ate of the bag of Doritos
∵ Jamie took 50 books from the library
∵ She only read half of her whole stack
- Multiply half by 50
∴ She read = 
× 50
∴ She read = 25
She read 25 books
Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.
the condition says that x-y = 1 or x-y = -1.
so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.
let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the 2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.
the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.
