Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If

Question

Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If the equation models the scenario, how many books does Lindsay own? 12 18 36 48

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Brielle 1 month 2021-09-19T03:33:45+00:00 2 Answers 0

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    0
    2021-09-19T03:34:46+00:00

    Answer:

    Lindsay owns 12 books.

    Step-by-step explanation:

    We can solve this question using a system of equations.

    I am going to say that:

    x is the number of books that Lindsay owns.

    y is the nuber of books that Destiny owns.

    z is the number of books that Henry owns.

    Lindsay owns one-third the number of books that Destiny owns.

    This means that:

    x = \frac{y}{3}, or y = 3x

    Henry owns a fourth as many books as Destiny.

    This means that z = \frac{y}{4}, or y = 4z. Also, in function of x, we may have 3x = 4z, z = \frac{3x}{4}

    Together they own 57 books.

    This means that x + y + z = 57

    We want to find x. So

    x + y + z = 57

    x + 3x + \frac{3x}{4} = 57

    \frac{4x + 4*3x + 3x}{4} = 57

    19x = 57*4

    x = \frac{57*4}{19}

    x = 12

    Lindsay owns 12 books.

    0
    2021-09-19T03:35:03+00:00

    Answer:

    12

    Step-by-step explanation:just did the assignment

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45:7+7-4:2-5:5*4+35:2 =? ( )