SOLUTION: (100P-4,000)/100p=.40 , solve for p

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Question 275660: (100P-4,000)/100p=.40 , solve for p
Answer by checkley77(12844) About Me  (Show Source):
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(100P-4,000)/100p=.40 cross multiply
100p*.40=100p-4,000
40p-100p=-4,000
-60p=-4,000
p=-4,000/-60
p=200/3 ans.
Proof:
(100*200/3-4,000)/(100*200/3)=.4
(20,000/3-4,000)/(20,000/3)=.4
(20,000-4,000*3)/3*3/20,000=.4
(20,000-12,000)/3*3/20,000=.4
8,000/3*3/20,000=.4
24,000/60,000=.4
.4=.4