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20 September, 17:53

There are 26 students in Mrs. Ortlieb's class. There are two more boys than girls. Solve a system of equations that represents the situation.

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  1. 20 September, 18:08
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    There are 14 boys and 12 girls

    Step-by-step explanation:

    There are 26 students in Mrs. Ortlieb's class.

    There are two more boys than girls.

    Let the number of boys be x and number of girls be y.

    x + y = 26 ... (i)

    x = 2 + y ... (ii)

    Solving this system of simultaneous equations by rearranging first:

    x + y = 26 ... (i)

    x - y = 2 ... (ii)

    Adding (i) and (ii) gives;

    2x + 0 = 28

    x = 28 : 2 = 14

    So there are 14 boys and;

    26 - 14 = 12 girls.
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