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 the year before. How many student athletes signed up for a spring sport in 2012?

Question

Grace Clements

Mathematics

28 February, 01:09

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 the year before. How many student athletes signed up for a spring sport in 2012?

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Answers (1)

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Maci Barnes · Answer 1

In 2014, 2277 was 110% of 2013.

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

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

2277 = 110% of x

2277 = (110/100) x

2277 = 1.10x

x = 2277/1.1 = 2070

Number in 2013 is 2070

Number in 2013 = 90% Number in 2012

2070 = (90/100) * Number in 2012

2070 = 0.90 * Number in 2012

2070 / 0.90 = Number in 2012

2300 = Number in 2012

Number in 2012 = 2300