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6 es el 20% del 50% de un número. ¿Cuál es
el número?


Sagot :

Para resolver este problema, llamemos [tex]\( x \)[/tex] al número desconocido.

Primero, vamos a encontrar el 50% de [tex]\( x \)[/tex]:
[tex]\[ \text{Parte del 50%} = 0.50 \times x \][/tex]

Luego, sabemos que el 20% de esta parte es igual a 6:
[tex]\[ 0.20 \times (\text{Parte del 50%}) = 6 \][/tex]

Sustituimos la expresión de la parte del 50% en la ecuación:
[tex]\[ 0.20 \times (0.50 \times x) = 6 \][/tex]

Simplificamos el lado izquierdo de la ecuación:
[tex]\[ 0.10 \times x = 6 \][/tex]

Finalmente, resolvemos para [tex]\( x \)[/tex] dividiendo ambos lados de la ecuación por 0.10:
[tex]\[ x = \frac{6}{0.10} \][/tex]

[tex]\[ x = 60 \][/tex]

Por lo tanto, el número desconocido es [tex]\( 60 \)[/tex].
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