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10 May, 02:14

A science class has a total of 34 students. The number of females is 16 less than the number of males. How many males and how many females are in the class?

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  1. 10 May, 02:36
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    25 and

    9

    Step-by-step explanation:

    Let the number of males be A and that of females be B

    Total number of students = 34

    Number of females B = A - 16

    Remember males and females = 34

    That's

    A + B = 34

    We now have two equations

    Equation one:B = A - 16

    Equation two: A + B = 34

    Substitute A - 16 for B in equation 2

    We have,

    A + B = 34

    A + A - 16 = 34

    2A - 16 = 34

    Add 16 to both sides

    2A - 16 + 16 = 34 + 16

    2A = 50

    Divide both sides by 2

    2A/2 = 50/2

    A = 25

    Now put 25 as A in any of the equations to get B

    Using equation one, we have

    B = A - 16

    B = 25 - 16

    B = 9

    There are 25 males and 9 females in the class
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