Question

Tiffany is to distribute her 100 pieces of candy to her four friends Carmela, Mikaela, Gabriel, and Daniel. Carmela receives two pieces more than Mikaela; Mikaeila receives two more than Gabriel; and Gabriel receives two more than Daniel. How many pieces of candy did each friend receive?

A) Carmela: 28, Mikaela: 26, Gabriel: 24, Daniel: 22
B) Carmela: 25, Mikaela: 27, Gabriel: 29, Daniel: 19
C) Carmela: 26, Mikaela: 28, Gabriel: 30, Daniel: 16
D) Carmela: 24, Mikaela: 22, Gabriel: 20, Daniel: 18

Answer 1

To solve this problem, we can set up an equation based on the given information and find the value of x. Then, we can use that value to determine the number of candies each friend receives.

Step-by-step explanation:

To solve this problem, we can start by assigning variables for the number of candies each friend receives. Let's say Carmela receives x pieces of candy, Mikaela receives x-2 pieces, Gabriel receives x-4 pieces, and Daniel receives x-6 pieces.

We can set up an equation based on the given information: x + (x-2) + (x-4) + (x-6) = 100. Simplifying, we get 4x - 12 = 100. Solving for x, we find that x = 28.

Substituting x back into our variables, we can determine the number of candies each friend receives. Carmela receives 28 pieces, Mikaela receives 28-2 = 26 pieces, Gabriel receives 28-4 = 24 pieces, and Daniel receives 28-6 = 22 pieces.

So the answer is: Carmela: 28, Mikaela: 26, Gabriel: 24, Daniel: 22 (Option A).