# Math Help - At the fair

1. ## 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)

2. Originally Posted by zenith20
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.).

3. 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.

4. 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

5. Originally Posted by wonderboy1953
How did this problem originate? (from your notes or a textbook e.g.).
it's a puzzle from shakuntala devi