Hobbs Malone
01/14/2023 · Middle School

27) Rosa prepara \( 5 \frac{3}{4} \mathrm{~L} \) de mazamorra que debe repartir en recipientes de \( \frac{1}{4} \mathrm{~L} \). Si cada uno se vende en \( S / 2 \), ¿cuánto dinero obtendrá? Resolucion

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Para resolver el problema, primero debemos determinar cuántos recipientes de \( \frac{1}{4} \mathrm{~L} \) se pueden llenar con \( 5 \frac{3}{4} \mathrm{~L} \) de mazamorra. 1. **Convertir \( 5 \frac{3}{4} \mathrm{~L} \) a una fracción impropia:** \[ 5 \frac{3}{4} = 5 + \frac{3}{4} = \frac{20}{4} + \frac{3}{4} = \frac{23}{4} \mathrm{~L} \] 2. **Calcular cuántos recipientes de \( \frac{1}{4} \mathrm{~L} \) se pueden llenar:** Para encontrar el número de recipientes, dividimos la cantidad total de mazamorra entre el volumen de cada recipiente: \[ \text{Número de recipientes} = \frac{\frac{23}{4}}{\frac{1}{4}} = \frac{23}{4} \times \frac{4}{1} = 23 \] 3. **Calcular el dinero obtenido:** Si cada recipiente se vende a \( S/2 \), entonces el dinero total que obtendrá Rosa por vender los 23 recipientes es: \[ \text{Dinero total} = 23 \times \frac{S}{2} = \frac{23S}{2} \] Por lo tanto, Rosa obtendrá \( \frac{23S}{2} \) soles por la venta de la mazamorra.

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Rosa obtendrá \( \frac{23S}{2} \) soles por la venta de la mazamorra.
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