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On chocolate day in the almond trees, 3 cakes will be distributed to each student. How many boxes will have to be bought knowing that there are 437 students and that each box contains 5 dozen cakes?

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Answer to a math question On chocolate day in the almond trees, 3 cakes will be distributed to each student. How many boxes will have to be bought knowing that there are 437 students and that each box contains 5 dozen cakes?

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Cristian
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Para saber cuántas cajas se necesitan comprar para distribuir pasteles a 437 estudiantes, primero calculemos la cantidad total de pasteles necesarios. Cada estudiante recibe 3 pasteles. Entonces, para 437 estudiantes, el número total de pasteles necesarios es: \[ 437 \text{ estudiantes} \times 3 \text{ pasteles/estudiante} = 1311 \text{ pasteles} \] Ahora necesitamos determinar cuántas cajas de pasteles se necesitan. Cada caja contiene 5 docenas de pasteles, y una docena es igual a 12. Entonces, cada caja contiene \(5 \times 12 = 60\) pasteles. Para encontrar la cantidad de cajas necesarias, divida la cantidad total de pasteles por la cantidad de pasteles en cada caja: \[ \text{Número de cajas} = \frac{1311 \text{ pasteles}}{60 \text{ pasteles/caja}} \] \[ = \frac{1311}{60} \] \[ \aprox 21,85 \] Como no puedes comprar una fracción de una caja, deberás redondear para asegurarte de tener suficientes pasteles. Por lo tanto, necesitarías comprar \(22\) cajas. Entonces, necesitarías comprar \(22\) cajas de pasteles para distribuirlas a 437 estudiantes.

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