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1. On the last 5 quizzes, Marco has earned a total of 21 out of 25 possible points. If he has a perfect
score on the next several quizzes, exactly how many points will he need to bring his average up to
90%?
(a) Write a rational equation to represent this situation.


Sagot :

The number of points Marco needs to bring his average up to 90% is 15points.

If there's a possible 25 possible points, and Marco has taken 5 quizzes;

Evidently, each quiz has weighs 5 points.

Mathematically;

[tex] \frac{21 + 5x}{5(5 + x)} \times 100\% = \frac{90}{100} [/tex]

  • 2100 + 500x = 2250 + 450x

  • 50x = 150

x = 3.

Therefore, he needs 5x points = 15 points to bring his average up to 90%.

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