SOLUTION: The number of blooming pansies increased by 160 percent overnight. If they numbered 117 in the morning, how many pansies had bloomed before nightfall?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The number of blooming pansies increased by 160 percent overnight. If they numbered 117 in the morning, how many pansies had bloomed before nightfall?       Log On


   



Question 333639: The number of blooming pansies increased by 160 percent overnight. If they numbered 117 in the morning, how many pansies had bloomed before nightfall?
Found 2 solutions by josmiceli, jrfrunner:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A 160% increase resulted in 117 pansies
Let x = number of pansies that had bloomed before nightfall
1.6x+=+117
x+=+73.125
73 had bloomed before nightfall

Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
let A=after amount
let B=before amount
let p=percent change
---
A=B*p
---
in your example
A=117
B=unknown,need to find
p=160%=1.6
--
solve for B, which is what you want
--
B=A/p = 117/1.6=73.125 or around 73
--
verify
73*1.6=116.8 or 117