SOLUTION: 8% of a population left a town.If the population is now 2852,find the population before the 8% left.How many people left town?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 8% of a population left a town.If the population is now 2852,find the population before the 8% left.How many people left town?      Log On


   



Question 547859: 8% of a population left a town.If the population is now 2852,find the population before the 8% left.How many people left town?
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
if 8% of the population left, this means 92% of the original population remains.
This means that 92% is 2852. We need to find what 100% is. Making this a proportion question we have (where x is the original population):
2852%2F0.92=x%2F1
Solving for x we get
x=3100


Let's double-check this:
8% of 3100 is 0.08*3100=248
If we did our question properly the amount that left plus the amount that stayed is the original
248+2852=3100 ((it worked!))
Hopefully this helps:)