brain teaser

A girl has exactly enough money to buy 3 sweaters and 2 skirts, or to buy 3 skirts and no sweaters. How many sweaters can she buy is she buys only one skirt

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asked by laila
  1. number of sweaters ---- x
    number of skirts ------- y

    3x + 2y = 3y
    3x = y or x = y/3

    so she has 3y to spend
    if she buys 1 skirt, or she spends y, that leaves her with 2y
    but y = 3x, so 2y = 6x = 6 sweaters

    check:
    suppose she has $90
    so she can buy 3 skirts, each skirt would cost $30
    but 3 sweaters + 2 skirts cost $90
    3x + 60 = 90
    3x = 30
    x = 10
    each sweater would cost $10.

    so if she buys only 1 skirt, she would have
    90-30 or $60 left, for which she could buy 6 sweaters, as shown above.

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    posted by Reiny

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