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stiks02 [169]
2 years ago
5

The same number of people live on the islands Beautiful Sunrise and Gorgeous

Mathematics
1 answer:
aev [14]2 years ago
7 0

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, we have that:

  • We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
  • There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

P = \frac{a}{x} \times 100\%

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

\frac{x + a}{x - a} = 7

We can find a <u>as a function of x</u> to find the percentage:

\frac{x + a}{x - a} = 7

7(x - a) = x + a

7x - 7a = x + a

8a = 6x

a = \frac{3x}{4}

Then, the percentage is:

P = \frac{a}{x} \times 100\%

P = \frac{\frac{3x}{4}}{x} \times 100\%

P = \frac{3}{4} \times 100\%

P = 75\%

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

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