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ankoles [38]
3 years ago
12

Tres empleados de una empresa tienen que pagar 3100€ de impuestos entre todos de forma inversamente proporcional a su sueldo men

sual. Si Javier cobra 1500€, Antonio, 2000€, y Elvira, 1800€, ¿cuánto tiene que pagar cada uno?
Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

La cantidad que Javier paga como impuesto, A es de 1.200 €

La cantidad que Antonio paga como impuesto, B es 900 €

El importe que paga Elvira como impuesto, C es de 1.000 €

Step-by-step explanation:

Dejemos que 'A', 'B' y 'C', representen la cantidad que pagan Javier, Antonio y Elvira respectivamente, y que 'k' represente la constante de proporcionalidad, por proporcionalidad inversa, tenemos;

A = k / 1500, B = k / 2000, C = k / 1800

A + B + C = 3100

∴ k / 1500 + k / 2000 + k / 1800 = 3100

Simplificando la ecuación anterior usando una calculadora gráfica da;

31 · k / 18 000 = 3100

k = 18.000 × 3.100 / 31 = 1.800.000

k = 1.800.000

La cantidad que Javier paga como impuesto, A = 1.800.000 / 1.500 = 1.200

La cantidad que Antonio paga como impuesto, B = 1.800.000 / 2.000 = 900

La cantidad que paga Elvira como impuesto, C = 1.800.000 / 1.800 = 1.000

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