The number of zebras in a population in 2018 was 1.27 times the number of zebras in this population in

Question

The number of zebras in a population in 2018 was 1.27 times the number of zebras in this population in 2014 . If the number of zebras in this population in 2014 is p % of the number of zebras in this population in 2018 , what is the value of p , to the nearest whole number?

Accepted Answer

The correct answer is 79 . Let x represent the number of zebras in the population in 2014 and let y represent the number of zebras in the population in 2018 . It&rsquo;s given that the number of zebras in this population in 2018 was 1.27 times the number of zebras in this population in 2014 . It follows that the equation y = 1.27 x represents this situation. Dividing both sides of this equation by 1.27 yields y 1.27 = x , or 1 1.27 y = x . Therefore, the number of zebras in this population in 2014 is 1 1.27 times the number of zebras in this population in 2018 . If the number of zebras in this population in 2014 is p % of the number of zebras in this population in 2018 , then x = p 100 y . It follows that 1 1.27 = p 100 , or 100 1.27 = p , which means p is approximately equal to 78.74 . Therefore, the value of p , to the nearest whole number, is 79 .

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