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Solve the statement problem posed below, applying the Direct and inverse compound proportionality. Proposes a solution strategy Using a diagram or diagram, indicating the proportional relationship between the magnitudes and delivers a precise solution in writing. Problem: "If 8 administrators carry out the work in 9 days, working at a rate of 6 hours, Accounting analysis of 30 clients. How many days will 10 administrative staff need? working 8 hours a day to perform the accounting analysis of 50 clients?”

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Answer to a math question Solve the statement problem posed below, applying the Direct and inverse compound proportionality. Proposes a solution strategy Using a diagram or diagram, indicating the proportional relationship between the magnitudes and delivers a precise solution in writing. Problem: "If 8 administrators carry out the work in 9 days, working at a rate of 6 hours, Accounting analysis of 30 clients. How many days will 10 administrative staff need? working 8 hours a day to perform the accounting analysis of 50 clients?”

Expert avatar
Timmothy
4.8
97 Answers
1. Determinamos la relación de proporcionalidad entre las variables. Aquí tenemos tres variables involucradas: el número de administrativos ( A ), el número de días ( D ), las horas trabajadas por día ( H ) y el número de clientes ( C ).

2. Utilizamos la fórmula de proporcionalidad compuesta:

D_2 = D_1 \cdot \frac{A_1}{A_2} \cdot \frac{H_1}{H_2} \cdot \frac{C_2}{C_1}

3. Sustituimos los valores:
- A_1 = 8
- D_1 = 9
- H_1 = 6
- C_1 = 30
- A_2 = 10
- H_2 = 8
- C_2 = 50

4. Insertamos estos valores en la fórmula:

D_2 = 9 \cdot \frac{8}{10} \cdot \frac{6}{8} \cdot \frac{50}{30}

5. Simplificamos la expresión:

D_2 = 9 \cdot \frac{8 \cdot 6 \cdot 50}{10 \cdot 8 \cdot 30}

6. Finalmente obtenemos:

D_2 = 9 \text{ días}

Respuesta: 9 \text{ días}

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