In an examination‚18 candidate passed mathematics‚17 candidates passed physics, 11 candidates passed both subjects and1 candidate failed both subjects find. The number of candidates that passed mathematics only. The number of candidates that passed physics only. The total number of candidates that sat for the examination
If there were x candidates, only x-1 passed something
18 + 17 - 11 = x-1
18-11 passed only math
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To find the number of candidates that passed mathematics only, we need to subtract the number of candidates who passed both subjects from the total number of candidates who passed mathematics.
The number of candidates who passed mathematics only = (number of candidates passed mathematics) - (number of candidates passed both subjects)
Given:
Number of candidates passed mathematics = 18
Number of candidates passed both subjects = 11
Therefore, the number of candidates that passed mathematics only = 18 - 11 = 7
To find the number of candidates that passed physics only, we need to subtract the number of candidates who passed both subjects from the total number of candidates who passed physics.
The number of candidates who passed physics only = (number of candidates passed physics) - (number of candidates passed both subjects)
Given:
Number of candidate passed physics = 17
Number of candidates passed both subjects = 11
Therefore, the number of candidates that passed physics only = 17 - 11 = 6
To find the total number of candidates that sat for the examination, we add the number of candidates who passed mathematics only, the number of candidates who passed physics only, and the number of candidates who failed both subjects.
Total number of candidates that sat for the examination = (number of candidates passed mathematics only) + (number of candidates passed physics only) + (number of candidates failed both subjects)
Given:
Number of candidates passed mathematics only = 7
Number of candidates passed physics only = 6
Number of candidates failed both subjects = 1
Therefore, the total number of candidates that sat for the examination = 7 + 6 + 1 = 14