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In Lewis County, there were 2,277 student athletes competing in spring sports in 2014. That was 110% of the number from 2013, which was 90% of the number from the year before. How many athelets signed up for a spring sport in 2012

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xxaurorabluexx
In 2014, 2,277 was 110% of 2013.

Number in 2013=90% of the year before (2012)

Let the number in 2013 be x. From the first statement,

2,277 = 110% of x

2,277 = (110/100)x

2,277 = 1.10x

x = 2,277/1.1 = 2,070

Number in 2013 is 2,070

Number in 2013 = 90% Number in 2012

2,070 = (90/100) * Number in 2012

2,070 = 0.90 * Number in 2012

2, 070 / 0.90 = Number in 2012

2,300 = Number in 2012

Number in 2012 = 2,300

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