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A total of 317 students went on a field trip, with 17 students riding in cars and the remainder of the students divided equally between 8 buses. Determine if the number of students on each bus is viable in the context of the problem



Answer :

Answer:

The number of students on each bus would not be viable.

Step-by-step explanation:

In order to determine if this system is viable, we need to figure out if the remaining students can be divided into 8 equal groups:

  • First, we subtract the students riding in cars; 317 - 17 = 300
  • Next, we attempt to divide this number by 8: [tex]\frac{300}{8} =\frac{75}{2}[/tex]

Since we can see that as a simplified fraction, 300 divided by 8 is equal to 75 divided by 2, we can easily determine whether or not this is possible, as only even numbers are divisible into 2 with no remainder. Since 75 is NOT an even number, we cannot split the remaining students evenly into 8 buses, therefore the number of students on each bus cannot be viable, as it is would not be a whole number.

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