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MathematicsMathematics
6 October, 17:53

Toby and Marcus both collect stamps. Toby has 10 stamps and collects 4 new stamps every week. Marcus has 60 stamps and collects 2 new stamps every week. After how many weeks will Toby and Marcus have the same number?

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  1. 6 October, 21:30
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    25 weeks will Toby and Marcus have the same number of stamps

    Explanation:

    No of stamps collected by Toby initially = 10

    No of stamps Toby collects every week = 4

    No of stamps Marcus has initially = 60

    No of stamps Marcus collects each week=2

    Suppose the no of week when Toby and Marcus have the same number of stamps are x

    Hence no of stamps collected by Toby after x weeks

    =10+4x

    No of stamps collected by Marcus after x weeks

    =60+2x

    Therefore to calculate the same of stamps collected by Toby and Marcus

    No of stamps collected by Toby after x weeks = No of stamps collected by Marcus after x weeks

    10+4x = 60 + 2x

    4x-2x = 60-10

    2x=50

    x=25

    Hence after 25 weeks Toby and Marcus will have the same number of stamps
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Home » Mathematics » Toby and Marcus both collect stamps. Toby has 10 stamps and collects 4 new stamps every week. Marcus has 60 stamps and collects 2 new stamps every week. After how many weeks will Toby and Marcus have the same number?
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