A town's population increased by 1,200 people, and then this new population decreased by 11%. The town now has 32 less people than it did before the 1200 increase. What was the original population?

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Apr 11, 2018

10000

Explanation:

Original population: #x#
Increased by 1200: #x+1200#
Decreased by 11%: #(x+1200)xx0.89#

#(x+1200)xx0.89=0.89x+1068#

#0.89x+1068# is 32 less than the original population #x#

#x=0.89x+1068+32#
#x=0.89x+1100#
#0.11x=1100#
#x=10000#

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