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27 March, 15:14

sam had 70 erasers and rulers. after giving away 1/3 of his erasers and 10 rulers, he had an equal number of erasers and rulers left. how many erasers did he have in the beginning?

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  1. 27 March, 15:28
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    36 erasers

    Step-by-step explanation:

    Let number of erasers be e

    let number of rulers be r

    We can write:

    e + r = 70

    and

    After giving away, he has

    Erasers: 2/3e

    Rulers: r - 10

    These two are equal, so we can write and solve:

    2/3e = r - 10

    2/3e + 10 = r

    Putting this in initial equation, we have:

    e + (2/3e + 10) = 70

    5/3e + 10 = 70

    5/3 e = 60

    e = 36

    And rulers is:

    r = 2/3 (36) + 10 = 34

    Hence, he had 36 erasers in the beginning
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