A cheese maker has mixed a certain amount of cow's milk at €0.50 per liter with another amount of milk of sheep at €0.80 per liter, obtaining 300 liters of mixture at a price of €0.70 per liter. How many liters of each kind of milk did you use? Mixture Problem

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Answer to a math question A cheese maker has mixed a certain amount of cow's milk at €0.50 per liter with another amount of milk of sheep at €0.80 per liter, obtaining 300 liters of mixture at a price of €0.70 per liter. How many liters of each kind of milk did you use? Mixture Problem

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Jon

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Absolutamente, solucionemos este problema de mezcla. A continuación se explica cómo desglosarlo: **Dejar:** * x = litros de leche de vaca * y = litros de leche de oveja **Formular las ecuaciones:** Tenemos dos datos que se pueden convertir en ecuaciones: * **Volumen total:** x + y = 300 * **Costo por litro:** 0.50x + 0.80y = 0.70 * 300 (Costo total de la mezcla) **Resuelve el Sistema de Ecuaciones:** 1. **Resuelve para x en la primera ecuación:** x = 300 - y 2. **Sustituye x en la segunda ecuación:** 0,50(300 - y) + 0,80y = 210 3. **Simplifica y resuelve para y:** 150 - 0,5 años + 0,8 años = 210 0,3 años = 60 y = 200 4. **Sustituye y para encontrar x:** x = 300 - 200 x = 100 **Respuesta:** *El quesero utilizó 100 litros de leche de vaca. *El quesero utilizó 200 litros de leche de oveja.

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