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)
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.