Question

Tim, Claudia and Michael collected 14 stamps. Michael collected 2 more stamps than Tim and Claudia collected 3 more stamps than Tim. How many stamps did each collect?

Answer 1

Tim collected 3 stamps, Michael collected 5 stamps, and Claudia collected 6 stamps after solving the simple algebraic equation provided by the details of their stamp collection.

Step-by-step explanation:

The question involves solving a simple system of linear equations to determine how many stamps each person collected, based on the information given. Let's denote the number of stamps Tim collected as T. According to the problem, Michael collected T + 2 stamps and Claudia collected T + 3 stamps. Combined, they have 14 stamps which gives us the equation T + (T + 2) + (T + 3) = 14.

To find out how many stamps each person collected, follow these steps:

1. Combine like terms: 3T + 5 = 14.
2. Subtract 5 from both sides: 3T = 9.
3. Divide both sides by 3: T = 3.
4. Now that we have Tim's number of stamps, calculate Michael's: 3 + 2 = 5, and Claudia's: 3 + 3 = 6.

Therefore, Tim collected 3 stamps, Michael collected 5 stamps, and Claudia collected 6 stamps.