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Scorpion4ik [409]
2 years ago
5

En un distrito, hay una calle peatonal. El municipio decidió colocar faroles, bancas y sembrar árboles para mejorar el ornamento

. Los faroles serán colocados cada 30 metros, las bancas cada 20 metros y los árboles serán sembrados cada 50 metros. ¿Cada cuántos metros volverán a coincidir un farol, una banca y un árbol?
Mathematics
1 answer:
olga_2 [115]2 years ago
6 0

Answer:

El lugar donde la linterna, los bancos y los árboles se encuentran nuevamente está a 300 metros del punto de inicio.

Step-by-step explanation:

Los parámetros dados son;

El espacio entre las linternas = 30 metros.

El espacio entre los bancos = 20 metros.

El espacio entre los árboles = 50 metros.

Por lo tanto, tenemos, la ubicación donde la linterna, los bancos y los árboles se encuentran nuevamente, está dada por el mínimo común múltiplo de cada una de sus distancias de separación individuales como sigue;

      2   divide   30   20   50 {}  

{}      <u>5  divide    15    10    25</u>

{}                           3      2    5

El LCM = 2 × 5 × 3 × 2 × 5 = 300

El lugar donde la linterna, los bancos y los árboles se vuelven a encontrar está a 300 metros del punto de inicio.

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