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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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
Jon
4.6110 Answers
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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