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6 April, 07:39

Toby has 75% as many comic books as Mitch. Jarrett has 25% more comic books than Mitch. If Toby has 45 comic books, how many comic books does Jarrett have. Show all of your work.

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  1. 6 April, 08:01
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    Jarrett has 75 comics

    Step-by-step explanation:

    T = Number of comic books Toby has.

    M = Number of comic books Mitch has.

    J = Number of comic books Jarrett has.

    Toby has 75% as many comic books as Mitch.

    T = 3/4 * M

    This is because 75% = 75/100 = 3/4

    Jarrett has 25% more comic books than Mitch.

    J = 5/4 * M

    This is because 125% = 125/100 = 5/4

    If Toby has 45 comic books, how many comic books does Jarrett have.

    1) Substitute T = 45 and Solve for M

    T = 3/4 * M

    45 = 3/4 * M

    45 : 3/4 = M

    45 * 4/3 = M

    180/3 = M

    M = 60

    2) Substitute M = 60 and Solve for J

    J = 5/4 * M

    J = 5/4 * 60

    J = 300/4

    J = 75

    Jarrett has 75 comics
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