por dos refrescos y tres cafés se pagaron 5,90; por cuatro refrescos y un café se pagaron 6,30 ¿cuánto vale cada bebida?
1 answer:
Answer:
Sus costos unitarios son:
café: $1.3
refresco: $1.1
Explanation:
Planteamiento:
2r + 3c = 5.9
4r + 1c = 6.3
r = costo de un refresco
c = costo de un café
Desarrollo:
Multiplicando por -3 la segunda ecuación del planteamiento:
2r + 3c = 5.9
-12r - 3c = -18.9
-10r + 0c = -13.0
-10r = -13
r = -13/-10
r = 1.3
de la segunda ecuación del planteamiento:
4r + 1c = 6.3
4*1.3 + 1c = 6.3
5.2 + c = 6.3
c = 6.3 - 5.2
c = 1.1
Comprobación:
de la primer ecuación del planteamiento:
2*1.3 + 3*1.1 = 5.9
2.6 + 3.3 = 5.9
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