Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks does her sis

Question

Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks does her sister have?

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Alexandra 1 month 2021-09-14T10:06:35+00:00 1 Answer 0

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    2021-09-14T10:08:00+00:00

    Answer: at most 15 pairs of socks

    Step-by-step explanation:

    Let the number of pair of socks of her sister be x , and let the number of pairs Lucy has be y.

    Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

    \frac{1}{3}x + 4 = y    ………………………… equation 1

    Also ,  Lucy has at most 9 pairs of socks , this means that

    y\leq 9 ………………………………… equation 2

    Equating the two equations , we have

    \frac{1}{3}x + 4 \leq 9

    multiply through by 3

    x + 12\leq 27

    subtract 12 from both sides

    x\leq 15

    Therefore , the sister has at most 15 pairs of socks

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