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9 February, 15:44

Maria has five more than twice as many hats as Beth. Together they have 26 hats. How many hats does Maria have?

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  1. 9 February, 19:19
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    Maria has 19 hats.

    b=beth

    m=maria

    Equations: 2b+5=m

    b+m=26

    plug in 2b+5 for m in equation 2: b+2b+5=26

    add like terms: 3b+5=26

    subtract 5 from both sides: 3b=21

    Divide 3 from both sides: b=7

    now plug in 7 for b: 7+m=26

    subtract 7 from both sides: m=19

    m=Maria

    therefore Maria has 19 hats
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