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!
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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
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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
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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
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