Need to solve and check answer

Question

 The population of an area in a state increased by 74% to 104,400  people between 2000 and 2010. What was the population in the area in 2000?

Answer 1

Let's call the year 2000 population x, which then increased by 74% to 104,400 by the year 2010. Write this as an equation:

 

x + (x * 0.74) = 104,400

 

Now, solve for x:

 

1.74x = 104,400 [combine like terms - 1x + 0.74x = 1.74x]

x = 104,400/1.74 [divide each side by 1.74]

 

Check your work by simply starting with the year 2000 population & add 74%:

60,000 + (60,000 * 0.74) = 104,400 1.74 * 60,000 = 104,400

If you find this equation to be true, then you are finished. Good luck!