one third of the boys and one half girls a college participate..., Simplification, General Mathematics

Question:One third of the boys and one half of the girls of a college participate in a socail work project. If the number of participarting students is `300` out of which `100` are boys ,what is the total number of students in the college ?

A `500` 
B `600` 
C `700` 
D `800`

/94

+ AnswerC

+ ExplanationNumber  of boys who participate `= 100`.

`:. 1/3` of boys `= 100` or total number of boys `= 300`.

Number of  girls who participate `= 200`

``1/2` of girls `= 200` or total number of girls `= 400`

`:. total number of students `= (300 + 400)`

  `= 700`

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