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24 October, 18:48

Leah has 28 more marbles than Dan. 1/3 of Leah's marbles are equal in number to 4/5 of Dan's marbles. Find the number of marbles Leah has.

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  1. 24 October, 19:40
    0
    48

    Step-by-step explanation:

    L = D + 28

    ⅓L = ⅘D

    Solve the system of equations using elimination or substitution. Using substitution:

    ⅓L = ⅘ (L - 28)

    Multiply both sides by 15:

    5L = 12 (L - 28)

    Distribute:

    5L = 12L - 336

    Combine like terms:

    336 = 7L

    Divide:

    L = 48
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