Question

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?

Answer 1

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`