Of the student in mr. smiths fifth grade class, 1/3 were absent on Monday. Of the students in mrs Jacobs class 2/5 were absent on Monday. If there were 4 students absent in each class on Monday, how many students are in each class?

Respuesta :

There are 12 students in Mr. Smith's class and 10 students in Mrs. Jacob's class.

Further explanation

Given:

  • Of the student in Mr. Smith's fifth grade class, [tex]\frac{1}{3}[/tex] were absent on Monday.
  • Of the students in Mrs. Jacob's class, [tex]\frac{2}{5}[/tex] were absent on Monday.

There were 4 students absent in each class on Monday.

Question:

How many students are in each class?

The Process:

Part-1: in Mr. Smith's class

The diagram representing all students in the class is as follows:

[tex]\boxed{\cdot} \boxed{\cdot} \boxed{\cdot}[/tex]

[tex]\frac{1}{3}[/tex] were absent on Monday, that is [tex]\boxed{\cdot}[/tex] or 1 of 3 units.

There were 4 students absent on Monday.

Let us count how many students are in Mr. Smith's class.

[tex]\boxed{ \ 1 \ unit = 4 \ students \ }[/tex]

[tex]\boxed{ \ 3 \ unit = \ ? \ students \ }[/tex]

[tex]\boxed{ \ 3 \times 4 = 12 \ students \ }[/tex]

Thus, there are 12 students in Mr. Smith's class.

Part-2: in Mrs. Jacob's class

The diagram representing all students in the class is as follows:

[tex]\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}[/tex]

[tex]\frac{2}{5}[/tex] were absent on Monday, that is [tex]\boxed{\cdot} \boxed{\cdot}[/tex] or 2 of 5 units.

There were 4 students absent on Monday.

[tex]\boxed{ \ 2 \ unit = 4 \ students \ }[/tex]

[tex]\boxed{ \ 1 \ unit = \ ? \ students \ }[/tex]

[tex]\boxed{ \ 4 \div 2 = 2 \ }[/tex]

Therefore, [tex]\boxed{ \ 1 \ unit = 2 \ students \ }[/tex]

Let us count how many students are in Mrs. Jacob's class.

[tex]\boxed{ \ 1 \ unit = 2 \ students \ }[/tex]

[tex]\boxed{ \ 5 \ unit = \ ? \ students \ }[/tex]

[tex]\boxed{ \ 5 \times 2 = 10 \ students \ }[/tex]

Thus, there are 10 students in Mrs. Jacob's class.

- - - - - - - - - -

Conclusion

  • There are 12 students in Mr. Smith's class.
  • There are 10 students in Mrs. Jacob's class.

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Keywords: Of the student, in Mr. Smith's, fifth grade class, 1/3 were absent on Monday, Mrs. Jacob's class, 2/5, there were 4 students, in each class, how many, in each class, diagram