**Quote:**

Each of three students is given fifteen tokens to spend at a fair with various tents to visit. Some tents cost 3 tokens to enter, and some, 4 tokens. How many tents did Amelia visit?

(1) Amelia bought one token from another classmate, and spent all the tokens in her possession.

(2) Not all of the tents Amelia visited were the same token-price.

Statement 1 says Amelia bought one token from another classmate, and spent all the tokens in her possession.

=> Amelia had a total of 15 + 1 = 16 tokens

Case 1: She could have visited 4 tents {4, 4, 4, 4}

Case 2: She could have visited 5 tents {3, 3, 3, 3, 4}

Statement 1 is not sufficient. Statement 2 says Not all of the tents Amelia visited were the same token-price.

We have no information about the number of tokens Amelia has spent.

=> We cannot determine the number of tents Amelia has visited.

=>

Statement 2 is not sufficient. If we use

both the statements together, we know that she has spent 16 tokens and all the tents did not have the same token price.

This is only possible when she visits 5 tents with prices {3, 3, 3, 3, 4} (As shown in Case 2 of Statement 1)

=> We can say that

Amelia definitely visited 5 tents.We have solved the question using

both the statements together.Correct Answer: C