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For a class photo, a group of students forms a single line from left t

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Carcass
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For a class photo, a group of students forms a single line from left t [#permalink] New post   08 Jun 2022, 01:00
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For a class photo, a group of students forms a single line from left to right. If Robert, who is the 15th student from the left, is immediately to the right of Christine, who is the 13th student from the right, how many total students are in the line?

A. 26
B. 27
C. 28
D. 29
E. 30

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For a class photo, a group of students forms a single line from left t [#permalink] New post   08 Jun 2022, 05:24
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Carcass wrote:
For a class photo, a group of students forms a single line from left to right. If Robert, who is the 15th student from the left, is immediately to the right of Christine, who is the 13th student from the right, how many total students are in the line?

A. 26
B. 27
C. 28
D. 29
E. 30


Let R represent Robert
Let C represent Christine

Robert is the 15th student from the left
So there are 14 people (represented by X's) to the left of Robert to get: XXXXXXXXXXXXXXR

Robert is immediately to the right of Christine
In other words Christine is to the left of Robert.
So we get: XXXXXXXXXXXXXCR
Note: There are 13 people (represented by X's) to the left of Christine.

Christine is the 13th student from the right
This means there are 12 students to the right of Christine, and one of those students is Robert, which means there are 11 students to the right of Robert
So we get: XXXXXXXXXXXXXCRXXXXXXXXXXX

Total number of students = (13 people to the left of Christine) + Christine + Robert + (11 students to the right of Robert ) = 26

Answer: A
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For a class photo, a group of students forms a single line from left t [#permalink]
08 Jun 2022, 05:24
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