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# Math competition

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In Fizic school there was a math competition, with 5/7 of the students in the whole high school participating.

There were 3 rounds to master in order to win the tournament.

From the first to the 2nd round only 1/6 of the whole students who participated made it, from the 2nd round to the 3rd round only 16/400.

This tournament was won by 5 students in total.

Find out the number of students who participated and the number of students in Fizic High School.

Nov 13, 2021

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Hello Guest,

In Fizic school there was a math competition, with 5/7 of the students in the whole high school participating.

There were 3 rounds to master in order to win the tournament.

From the first to the 2nd round only 1/6 of the whole students who participated made it, from the 2nd round to the 3rd round only 16/400.

This tournament was won by 5 students in total.

Find out the number of students who participated and the number of students in Fizic High School.

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Students in Fizic High School $$\Rightarrow$$ 1050 students

Students that participated $$\Rightarrow$$ 750 students

Shorten the fraction $$\frac{16}{400}$$ into $$\frac{1}{25}$$ .

At the end 5 students won the tournament.

$$\mbox {Multiply 5 by 25 and divide 1. }$$

$$5 \cdot 25 = 125$$

$$125 : 1 = 125 \mbox { (Any number divided by 1 is the same.) }$$

$$\mbox {Multiply 125 by 6 and divide 1. }$$

$$125 \cdot 6 = 750$$

$$750 : 1 = 750 \mbox { (Any number divided by 1 is the same.) }$$

Thus, 750 students from Fizic High School participated.

$$(750 : 5) \cdot 7 = 1050$$

Thus, there are a total of 1050 students at Fizic High School.

Straight

Nov 13, 2021