Question

With 2.1 million digital​ subscribers, a​ top-ranked magazine has 1140​% more digital subscribers than a magazine ranked third. How many digital subscribers does the​ third-ranked magazine​ have?

Answer 1

Answer:

The number of subscribers of the third ranked magazine is 981308

Step-by-step explanation:

Given

Number of digital subscribers = 2.1 million

Percentage increment = 1140%

Let x represent the number of subscribers the third ranked magazine has

The relationship between the number of subscribers of the top ranked and third ranked magazine is defined as follows;

2.1 million = x + 1140% of x

Convert to digits only

2,100,000 = x + 1140% * x ------- By reordering

x + 1140% * x = 2,100,000

x + 1140/100 * x = 2,100,000

x + 1.14 * x = 2,100,000 ----- Factorize

x(1 + 1.14) = 2,100,000

x (2.14) = 2,100,000 ----- Divide through by 2.14

x = 2,100,000/2.14

x = 981308.411215 ----- Approximate

x = 981308

Hence, the number of subscribers of the third ranked magazine is 981308

Answer 2

Answer:

The answer is 201,923 subscribers

Step-by-step explanation:

Let the Top ranked magazine number of digital subscriber be t, and the number of the third most ranked digital subscriber be x,

Since the Top magazine has 1140% more than the third, this equation can be expressed as,

((t-x)/x)×100=1140

Substituting t=2.1×10^6, solve for x

(((2.1×10^6)-x)/x)×100=1140

Solving for x=201,923