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Mr Ho bought a television set for his parents with 50% of his salary. He saved 60% of the remaining money in bank and had $150 left. How much did Mr Ho have at first?

Question

Mr Ho bought a television set for his parents with 50% of his salary. He saved 60% of the remaining money in bank and had $150 left. How much did Mr Ho have at first?

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Solution

Vamos a resolver el problema paso a paso.

  1. Denotemos el salario inicial de Mr. Ho como S S .

  2. Mr. Ho gastó el 50% de su salario en un televisor. Entonces, la cantidad gastada en el televisor es: 0.5S 0.5S

  3. El dinero restante después de comprar el televisor es: S0.5S=0.5S S - 0.5S = 0.5S

  4. Mr. Ho ahorró el 60% del dinero restante en el banco. Entonces, la cantidad ahorrada es: 0.6×0.5S=0.3S 0.6 \times 0.5S = 0.3S

  5. Después de ahorrar, el dinero que le queda es: 0.5S0.3S=0.2S 0.5S - 0.3S = 0.2S

  6. Sabemos que el dinero que le queda es $150. Por lo tanto, podemos escribir la ecuación: 0.2S=150 0.2S = 150

  7. Para encontrar el salario inicial S S , resolvemos la ecuación: S=1500.2=750 S = \frac{150}{0.2} = 750

Por lo tanto, Mr. Ho tenía inicialmente $750.

This problem has been solved

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