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2 June, 19:47

A teacher bought some bookmarks for her students. if she gave each students 3 bookmarks, she would have 21 bookmarks left. if she gave each students 5 bookmarks, she would be short of 53 bookmarks. How many students does the Teacher have?

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  1. 2 June, 23:04
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    The teacher have 32 students.

    Step-by-step explanation:

    Firstly, 'if she gave each students 3 bookmarks, she would have 21 bookmarks left.' This means that 3x + 21 = amount of bookmarks available. Here the x is the number of students.

    Then, 'if she gave each students 5 bookmarks, she would be short of 53 bookmarks.' This means that 5x - 53 = amount of bookmarks avalable.

    Since both equations all equal to the same quantity, then we know that:

    3x + 21 = 5x - 53

    Finally, we just need to rearrange the equation to make x the subject.

    3x + 21 = 5x - 53

    3x = 5x - 53 - 21

    3x = 5x - 74

    3x - 5x = - 74

    - 2x = - 74

    - 2x : - 2 = - 74 : - 2

    x = 37

    Then, just to make sure, we put the number of students into the equations.

    3x + 21 = 5x - 53

    3 * 37 + 21 = 5 * 37 - 53

    111 + 21 = 185 - 53

    132 = 132

    This means that x does equal to 37.
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