Maths ( F.4)

2007-02-07 3:59 am
When the price of a drozen bottles of wine is raised by $150, 12 fewer bottles of wine can be bought at $900. Find the original price per dozen bottles of wine.

回答 (1)

2007-02-07 4:50 am
✔ 最佳答案
P: orginal price
N: number of dozen can buy orginally for $900

PN= $900
so N=900/P
(P+150)(N-1)=900
(P+150)(900/P-1)=900
900-P+135000/P-150=900
-P+135000/P-150=0
P-135000/P+150=0
P2+150P-135000=0
P=300 or P= -450(rejected)
so the original price per dozen bottles of wine is $300

2007-02-06 20:54:50 補充:
the P2 in last 3 row mean P^2


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