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14 August, 20:05

A piano teacher charges $30 for a one hour lesson, and $50 for a two hour lesson. She works for 25 hours in one week, and earns $690. Determine how many two hour lessons she gave.

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  1. 14 August, 20:13
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    Suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,

    2x+y=25

    50x+30y=690

    to get the values of x and y we solve the quadratic equation given;

    from the top equation:

    y=25-2x ... i

    substituting i in our second equation we get:

    50x+30 (25-2x) = 690

    50x+750-60x=690

    -10x=-60

    thus;

    x=6

    hence we conclude that the number of 2 hours classes are 6 hours
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