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31 August, 01:47

In a maths class of 26 students, each girl drew a triangle and each boy drew a rectangle. if there were 92 sides drawn by the students, how many girls were in the class?

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  1. 31 August, 02:04
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    Let there be x girls, and y boys.

    Since a triangle is 3 sides, the girls would draw 3x sides.

    Since a rectangle is 4 sides, the boys would draw 4y sides.

    Recall a total of 92 sides were drawn.

    x + y = 26 ... (a)

    3x + 4y = 92 ... (b)

    From (a) y = 26 - x, substituting this into (b)

    3x + 4 * (26 - x) = 92

    3x + 104 - 4x = 92

    3x - 4x = 92 - 104

    -x = - 12

    x = - 12/-1 = 12.

    Since x is the number of girls, so there are 12 girls
  2. 31 August, 02:13
    0
    Let the number of girls be g.

    Let the number of boys be b.

    Now we can write these equations;

    3g + 4b = 92 ... (1)

    g + b = 26 ... (2)

    b = 26 - g ... (3)

    Plugging the expression for b in (3) into (1), we get:

    3g + 104 - 4g = 92 ... (4)

    Solving (4) we get

    g = 12

    So the number of girls in the class is 12.
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