3. Tengo unos discos que voy a regalar a 3 amigos de la siguiente forma: la mitad a Jorge, la tercera parte del total para Ana y los dos que me quedan para Pilar.

a) ¿Cuántos discos tenía?
b) ¿Cuántos regalé a Jorge y a Ana?
c) ¿Qué proporción le entregué a Pilar?



Answer :

Final answer:

To find the total number of discs and what each friend received, calculate using the least common multiple of the fractions involved.


Explanation:

The total number of discs can be found by finding the least common multiple of 2, 3, and 4 (since you are splitting them into halves, thirds, and keeping 2). The least common multiple of 2, 3, and 4 is 12, so you had 12 discs in the beginning. 6 discs were given to Jorge (half of 12) and 4 discs were given to Ana (1/3 of 12).

The proportion given to Pilar can be calculated by subtracting what was given to Jorge and Ana from the total. Therefore, Pilar received the remaining 2 discs out of the initial 12, which is 2/12 or 1/6 of the total.


Learn more about Mathematical fractions and proportions here:

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