Question

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?

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

Answer 2

2300 student athletes signed up for a spring sport in 2012.

Given,

Student athletes competing in spring sport in 2014 is 2277.

Let there were x students competing in year 2013.

According to the question,2277 was 110% of the number of students competing in 2013. So,

$110\ \% \ \rm of \ x= 2277$

$\dfrac{110}{100} \times \rm x=2277$

$\rm x=\dfrac{2277\times 100}{110}$

$\rm x=2070$

Hence 2070 students competing in year 2013.

Let the student competing in 2012 be y.

Now, 2070 was 90% of the number of students competing in year 2012.

So,

$90\%\ \rm of \ y= 2070$

$\dfrac{90}{100} \times \rm y=2070$

$\rm y=\dfrac{2070\times 100}{90}$

$\rm y=2300$

Hence the students competing in year 2012 was 2300.

For more details on percentage calculation follow the link:

https://brainly.com/question/8011401