please math help

A test has twenty questions worth 100 points. The test consists of True/ False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

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  1. T/F ---- x
    multiple choice --- y

    x+y = 20 ----> y = 20-x
    3x + 11y = 100
    3x + 11(20-x) = 100
    3x + 220 - 11x = 100
    -8x = -120
    x = 15 and then y = 5

    There are 5 multiple choice questions

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