Question

Sam and her brother Nate collect stamps together. Nate has collected 5 more than twice number of stamps Sam has collected. In total they have collected 26 stamps. Let n be the number of stamps that Sam has collected.

Answer 1

Explanation:

n+2(n+5)=26

Nate has collected 5 more than twice the number of stamps Sam has collected, which can be represented as 2n + 5.

The total number of stamps they have collected is 26.

So, the equation becomes n + 2(2n + 5) = 26.

The correct equation that models the given situation is:

4. n + 2(n + 5) = 26

Answer 2

Let's solve the problem step by step:

1. Let's assume that Sam has collected 'n' stamps.

2. According to the information given, Nate has collected 5 more than twice the number of stamps Sam has collected. This can be represented as 2n + 5.

3. The total number of stamps they have collected together is 26. So we can write the equation: n + (2n + 5) = 26.

4. Simplifying the equation: n + 2n + 5 = 26.

5. Combining like terms: 3n + 5 = 26.

6. Subtracting 5 from both sides of the equation: 3n = 26 - 5.

7. Simplifying: 3n = 21.

8. Dividing both sides of the equation by 3: n = 7.

Therefore, Sam has collected 7 stamps.

Now, let's calculate the number of stamps Nate has collected:

Using the equation 2n + 5, where n = 7, we have: 2(7) + 5 = 14 + 5 = 19.

Therefore, Nate has collected 19 stamps.

In summary, Sam has collected 7 stamps and Nate has collected 19 stamps.