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21 September, 17:56

Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two classes, and he took a total of 90 minutes to do them. If each algebra problem took him 2 minutes and each geometry problem took him 5 minutes, how many algebra problems did he have for homework?

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  1. 21 September, 18:20
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    Set up a system of equations. One equation will be for the number of problems and the other equation will be for the time.

    2a + 5g = 90

    a + g = 27

    To solve multiply the second equation by - 2

    2a + 5g = 90

    -2a - 2g = - 54

    Now add the equations

    3g = 36

    g = 12

    a + g = 27

    a = 27-12

    a = 15

    15 algebra problems
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