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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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