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Math Help - At the fair

  1. #1
    Newbie zenith20's Avatar
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    Question At the fair

    At the Fair
    At the fair I bought 6 pineapples and two jackfruits for Rs. 15. If I could have bought 4 more pineapples for Rs. 14 than jackfruits for Rs. 9. What would be the price of each?


    Could anybody help me understand the sentence "4 more pineapples for Rs. 14 than jackfruits for Rs. 9"!?

    And also, what’s the solution? (detailed please)
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  2. #2
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    Quote Originally Posted by zenith20 View Post
    At the Fair
    At the fair I bought 6 pineapples and two jackfruits for Rs. 15. If I could have bought 4 more pineapples for Rs. 14 than jackfruits for Rs. 9. What would be the price of each?


    Could anybody help me understand the sentence "4 more pineapples for Rs. 14 than jackfruits for Rs. 9"!?

    And also, what’s the solution? (detailed please)
    How did this problem originate? (from your notes or a textbook e.g.).
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  3. #3
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    p = pineapples, j = jackfruits

    I bought 6 pineapples and two jackfruits for Rs. 15 :
    6p + 2j = 15 ; j = (15 - 6p) / 2 [1]

    If I could have bought 4 more pineapples for Rs. 14 than jackfruits for Rs. 9. :
    (means: if I spend 14 on pineapples and 9 on jackfruits, I'll have 4 more pineapples than jackfruits)
    14/p - 9/j = 4 [2]

    Substitute [1] in [2]; you'll get a quadratic which will simplify to:
    4p^2 - 27p + 35 = 0

    Can you finish it off?
    If not, you'll need classroom help: can't teach here.
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  4. #4
    Newbie zenith20's Avatar
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    Dear Wilmer, THANK YOU so much for the explanation. i got it now.
    yes i can proceed for the answers: p=1.75 & j=2.25
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  5. #5
    Newbie zenith20's Avatar
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    Quote Originally Posted by wonderboy1953 View Post
    How did this problem originate? (from your notes or a textbook e.g.).
    it's a puzzle from shakuntala devi
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