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?”
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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?”
Timmothy
4.870 Answers
1. Determinamos la relación de proporcionalidad entre las variables. Aquí tenemos tres variables involucradas: el número de administrativos ( A D H 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}
2. Utilizamos la fórmula de proporcionalidad compuesta:
3. Sustituimos los valores:
-
-
-
-
-
-
-
4. Insertamos estos valores en la fórmula:
5. Simplificamos la expresión:
6. Finalmente obtenemos:
Respuesta:
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