Resolver problemas de matemáticas

En un zoológico 10 leones comen la misma cantidad que 40 lobos. 6 tigres comen la mitad que los leones. Si en total en una semana entre leones, lobos y tigres se han comido 600kg de carne ¿cuántos kilos se comieron los tigres?

6 Respuestas


Los tigres comieron 120kg.

Cómo es:

Los leones comen x cantidad de kg

Los lobos comen la misma x cantidad de kg que comen los leones

Los tigres comen la mitad que los leones, entonces los tigres comen 1/2 de x.

La ecuación es así: La cantidad x que comen los leones, mas la cantidad x que comen los lobos, mas 1/2 de x que comen los tigres, en total se comen 600kg:

$$\begin{align}&x + x + \frac{1}{2}x = 600\\ & \\ &2x + \frac{1}{2}x = 600\\ & \\ &2.5x = 600\\ & \\ &x= \frac{600}{2.5}\\ & \\ &x=240\\ & \\ &Los \ leones\ comen\  240 \ kg\\ &Los \ lobos\ comen\  igual \ que \ los \ leones\ entonces\ también\ comen \ 240 \ kg\\ &Y\  los\  tigres \ comen \ la \ mitad\  de\ los \ leones\ entonces \\ &tigres\  comen \ \frac{240}{2} = 120 kg\\ &Los \ tigres \ comen\ 120kg\end{align}$$

Saludos.Dante Amor


Llamemos x a la cantidad que nos piden calcular, lo que comen los tigres.

Nos dicen que los tigres (entre todos) comen la mitad que los leones (también entre todos), luego los lenes comen el doble 2x

Y los lobos comen lo mismo que los leones, luego 2x también

Y así entre todos los animales comen

x+2x+2x = 600

5x = 600

x = 600/5 = 120 kg

Luego los tigres comen 120kg

Y eso es todo.


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