De 40 estudiantes de undécimo grado, 14 toman clase de piano y 29 clases se violín.

a. Si cinco estudiantes toman ambas clases,¿ cuántos estudiantes no asisten a ninguna de las dos?

b. ¿cuántos estudiantes toman clase de piano o de violín?

c. cuántos estudiantes toman únicamente clases de violín?​

Answers

Answer 1

Puedes separar los grupos en:

los que solo toman clases de piano; p

los que solo toman clases de violin: v

los que toman clases de piano y violin; 5

A) para determinar cuántos estudiantes no toman ni piano ni violin, podemos hallar el número total de estudiantes que toman clases solo de piano y los que toman solo de violín y los que toman ambas clases, de la siguiente forma:

Estudian solo piano, p = 14 - 5= 9

Estudian solo violín, v = 29 - 5 = 24

Estudian ambos: 5

Total de estudiantes que toman clases de esos instrumentos : 9 + 24 + 5 = 38

Por tanto, hay 40 - 38 = 2 estudiantes que no toman clases de piano ni violín.

 

B) ¿cuántos estudiantes toman clases de piano o violín?

Son los que tocan solo piano, o solo violín o ambos y los  hallamos arriba:  9 + 24 + 5 = 38.

Respuesta: 38

C) ¿Cuántos estudiantes tocan solo violín?

También lo encontramos arriba: son 29 - 5 = 24

Respuesta: 24


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Answers

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Answer:

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Answers

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Answers

Answer:

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