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2 years ago

11

Si un empresario paga diariamente 50 a cada trabajador le faltaria 110 pero si les pagara 45 le sobraria 60 cuantos trabajadores

tiene dicho empresario

1 answer:

N76 [4]2 years ago

7 0

Answer:

34 trabajadores.

Step-by-step explanation:

Supongamos que el empresario tiene N trabajadores, y tiene la cantidad de dinero D para pagarles cada día.

Si el empresario decide pagarle 50 a cada trabajador le faltan 110.

Esto se puede reescribir como:

50*N = D + 110

(50 por número de empleados es igual que el dinero que tiene más lo que le falta para pagar)

También sabemos que si pagara 45 a cada empleado, le sobraría 60.

Esto se puede reescribir como:

45*N = D - 60

Entonces tenemos dos ecuaciones:

50*N = D + 110

45*N = D - 60

Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, en este caso aislaré D en la segunda ecuación.

45*N + 60 = D

Ahora podemos reemplazar esto en la primer ecuación y resolver para N

50*N = (45*N + 60) + 110

50*N = 45*N + 170

50*N - 45*N = 170

5*N = 170

N = 170/5 = 34

El empresario tiene 34 trabajadores.

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