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Rosita earns money by walking dogs after school and on the weekends . She walks Madeline every other day ,Buddy every forth day , and Ernie every third day . Today she walked all thee dogs . What day did Rosita walk all three dogs?

Respuesta :

Edufirst

Answer:

  • Rosita will walk all three dogs in 12 days.

Explanation:

Madeline is walked every other day means every two days: 2.

Buddy is walked every fourth day: 4.

Ernie is walked every third day: 3.

You need to find the least common multiple (LCM) of 2, 4, 3.

Decompose each number into its prime factors:

  • 2 = 2
  • 4 = 2²
  • 3 = 3

The LCM is the product of the common factors and non common factors each raised to its the greatest power:

  • LCM = 2² × 3 = 12

Then, Rosita will walk all three dogs in 12 days.

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