7. James and Ellie are two of 32 people standing in a line for movie tickets. There are 12 people, including Ellie, behind James, and there are 4 people between James and Ellie. How many people are in front of Ellie in the line?
Answer: B
There are 20 people in front of Ellie in the line.
To determine the number of people in front of Ellie, we can analyze their positions in line. If there are 12 people behind James, and there are 4 people between James and Ellie, then Ellie is positioned after James in the line.
A) 16
Option A is incorrect because if there were 16 people in front of Ellie, that would imply that Ellie is the 17th person in line. Given the positions, this does not account for the correct number of individuals behind James and between him and Ellie.
B) 20
Option B is correct. If there are 12 people behind James and 4 people between James and Ellie, then James is the 8th person in line (since 12 behind him means he's 13th from the end). Thus, Ellie, being 4 places behind James, is the 12th person in line. Consequently, there are 20 people in front of her (32 total - 12 = 20).
C) 22
Option C is incorrect because if there were 22 people in front of Ellie, she would need to be the 23rd person in line. However, with the established gaps and total number of people, this positioning does not match the context provided.
D) 23
Option D is incorrect as it suggests that there are 23 people in front of Ellie, which would place her as the 24th person in line. This contradicts the established positions of James and the number of individuals behind him.
E) 24
Option E is incorrect. If there were 24 people in front of Ellie, she would be the 25th person in line. However, the calculations show that based on James's position and the total number of individuals, Ellie cannot occupy this position.
Conclusion
The analysis shows that Option B is definitively correct with 20 people in front of Ellie, accurately reflecting the distribution based on James's placement and the individuals behind him. All other options fail to account for the established positions and logical deductions based on the scenario provided.