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Mathematics 14 Online
OpenStudy (anonymous):

From 1970 to 1980, the population of New City increased by 20%. From 1980 to 1990, the population of New City increased by 50%. What was the percent increase in the population of New City from 1970 to 1990? Please explain how you got this answer!

jimthompson5910 (jim_thompson5910):

assuming there's no typo, the answer is found in the first sentence "From 1970 to 1990, the population of New City increased by 20%"

OpenStudy (jdoe0001):

did you mean "From 1970 to 19\(\bf \text{80}\), the population of New City increased by 20%. From 1980 to 1990, the population of New City increased by 50%." ?

OpenStudy (anonymous):

I'm sorry, it was a typo! 1970 to 1980

jimthompson5910 (jim_thompson5910):

Let's say the population in 1970 was 100 people increase this by 20% to get _____ people

OpenStudy (anonymous):

okay

jimthompson5910 (jim_thompson5910):

what goes in the blank

OpenStudy (anonymous):

is it 20?

jimthompson5910 (jim_thompson5910):

20% of 100 is 20 but you add that to 100 to get 100+20 = 120

jimthompson5910 (jim_thompson5910):

so when you increase 100 by 20%, you get to 120

OpenStudy (anonymous):

okay

jimthompson5910 (jim_thompson5910):

now increase 120 by 50% to get _____

OpenStudy (anonymous):

180?

jimthompson5910 (jim_thompson5910):

yep, so what's the percent increase when the population goes from 100 to 180?

OpenStudy (anonymous):

80 percent!????

jimthompson5910 (jim_thompson5910):

bingo

OpenStudy (anonymous):

Thanks so much!!!!

jimthompson5910 (jim_thompson5910):

you're welcome

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