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QuestionEn un colegio hay 648 estudiantes. 5/9 son varones. Calcula: I. Parte de varones que practica deporte. II. Número de varones. III. Parte de mujeres que practica deporte. IV. Número de mujeres.

Studdy Solution

STEP 1

Assumptions1. The total number of students in the school is648. . The five-ninths of the students are males.
3. The three-fifths of the males and the three-eighths of the females participate in some sport.

STEP 2

First, we need to find the number of male students in the school. We can do this by multiplying the total number of students by the fraction of students that are males.
Male students=Total students×Fraction of males\text{Male students} = \text{Total students} \times \text{Fraction of males}

STEP 3

Now, plug in the given values for the total number of students and the fraction of students that are males to calculate the number of male students.
Male students=648×59\text{Male students} =648 \times \frac{5}{9}

STEP 4

Calculate the number of male students.
Male students=648×9=360\text{Male students} =648 \times \frac{}{9} =360

STEP 5

Now, we need to find the number of female students in the school. We can do this by subtracting the number of male students from the total number of students.
Female students=Total students−Male students\text{Female students} = \text{Total students} - \text{Male students}

STEP 6

Plug in the values for the total number of students and the number of male students to calculate the number of female students.
Female students=648−360\text{Female students} =648 -360

STEP 7

Calculate the number of female students.
Female students=648−360=288\text{Female students} =648 -360 =288

STEP 8

Now, we need to find the fraction of male students that participate in some sport. We know that this is three-fifths.
Fraction of male students that participate in sport=35\text{Fraction of male students that participate in sport} = \frac{3}{5}

STEP 9

Similarly, we need to find the fraction of female students that participate in some sport. We know that this is three-eighths.
Fraction of female students that participate in sport=38\text{Fraction of female students that participate in sport} = \frac{3}{8}So, the answers to the questions are. The fraction of male students that participate in some sport is 35\frac{3}{5}. II. The number of male students is360. III. The fraction of female students that participate in some sport is 38\frac{3}{8}. IV. The number of female students is288.

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