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Mazyrski [523]
3 years ago
14

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C

uántas vacas tenía al principio, ¿cuántas murieron y cuántas vendió?
Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea x la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}

x = 84

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

y = \frac{3}{7}\cdot x

y = 36

Murieron 36 vacas.

Cantidad de vacas vendidas

z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x

z = 24

24 vacas fueron vendidas.

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Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

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