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    obek's Avatar
    obek Posts: 1, Reputation: 1
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    #1

    Oct 22, 2009, 10:40 AM
    Finding the students in a school
    A school has 300 student, of whom 144 are boys.If 45% of the first year students are boys, while 50% of the other year students are boys, find the number of first year students in the school
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Oct 22, 2009, 11:10 AM

    That's how I would have done it:

    Let f be the number of first year students and s be the number of second year students.

    45% f + 50% s = 144

    Then, taking into consideration the girls, which you have a total of 300 - 144, you have 156.

    Then,

    65% f + 50% s = 156

    You have two equations, two variables. Solve simultaneously.

    Hint: To have the value of f directly, eliminate the 50% s. Then, no need to find s.
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