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Directions: Your answer may be an integer, a decimal, or a fraction, and it may be negative. Enter the exact answer unless the question asks you to round your answer.
Q. In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the people who are currently in line ahead of Shandra purchase tickets and leave the line, and no one else leaves the line, there will be 8 people ahead of Shandra in line. How many people are in the line currently?
Correct answer is '22'. Can you explain this answer?
Most Upvoted Answer
Directions: Your answer may be an integer, a decimal, or a fraction, ...
Given information:
- There are currently 10 people behind Shandra in the line.
- If 3 people ahead of Shandra purchase tickets and leave the line, there will be 8 people ahead of Shandra in line.

To find:
- The total number of people currently in the line.

Step-by-step solution:

Step 1: Assign variables to the given information
Let's assign variables to the given information to make it easier to solve the problem.
Let "x" represent the number of people ahead of Shandra in the line.
Let "y" represent the total number of people currently in the line.

Step 2: Translate the given information into equations
Based on the given information, we can create two equations:
1) There are currently 10 people behind Shandra in the line.
So, the number of people behind Shandra is y - 1 (excluding Shandra herself).
Therefore, we have: y - 1 - x = 10

2) If 3 people ahead of Shandra purchase tickets and leave the line, there will be 8 people ahead of Shandra in line.
So, the number of people ahead of Shandra becomes x - 3.
Therefore, we have: x - 3 = 8

Step 3: Solve the equations
We have two equations:
1) y - 1 - x = 10
2) x - 3 = 8

Solving equation 2) for x:
x = 8 + 3
x = 11

Substituting the value of x into equation 1):
y - 1 - 11 = 10
y - 12 = 10
y = 10 + 12
y = 22

Step 4: Answer
The total number of people currently in the line is 22.

Conclusion:
Based on the given information, there are currently 22 people in line.
Free Test
Community Answer
Directions: Your answer may be an integer, a decimal, or a fraction, ...
You are given that if 3 people currently ahead of Shandra leave the line and no one
else leaves, there will be 8 people ahead of Shandra. This means that currently there are 11 people ahead of Shandra. In addition to the 11 people currently ahead of Shandra in line, Shandra herself is in line, and there are currently 10 people behind Shandra. Therefore the total number of people in line currently is 11 + 1 + 10, or 22. The correct
answer is 22.
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Directions: Your answer may be an integer, a decimal, or a fraction, and it may be negative. Enter the exact answer unless the question asks you to round your answer.Q. In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the people who are currently in line ahead of Shandra purchase tickets and leave the line, and no one else leaves the line, there will be 8 people ahead of Shandra in line. How many people are in the line currently?Correct answer is '22'. Can you explain this answer?
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