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faltersainse [42]
2 years ago
11

por dos refrescos y tres cafés se pagaron 5,90; por cuatro refrescos y un café se pagaron 6,30 ¿cuánto vale cada bebida?

Spanish
1 answer:
mart [117]2 years ago
3 0

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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