in a classroom, 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. there are 36 students in the class. how many students are wearing a shirt other than blue or white?

The best thing to do here is to find out what one part is equal too, add these up and then subtract it from the original number.
As 1/6 of the students are wearing blue shirts, you need to find out what 1/6 is.
As there are 36 students, you need to divide this by 6 to get one part.
36/6=6
Therefore, there are six students wearing blue shirts.
As there are 2/3 students wearing white shirts, you need to find out what 2/3 of 36 is.
The best thing to do is to find 1/3 then double it.
To do this, divide 36 by 3.
36/3= 12
12*2= 24
Therefore, there are 24 students wearing white shirts.
As you're looking for the students that aren't wearing blue and white, you need to add the total together, and then subtract this from 36.
6+24=30
36-30= 6
Therefore, there are 6 students that are wearing shirts that aren't blue or white.
Hope this helps :)

johanrusli johanrusli · Answer 2 · 2019-09-28T10:33:21+02:00

Number of students that are wearing a shirt other than blue or white is 6 students

Further explanation

Order of Operations in Mathematics follow this following rule :

Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

Total Number of Students = 36 students

¹/₆ of the students are wearing blue shirts.

[tex]\texttt{Blue Shirt Students} = \frac{1}{6} \times \texttt{Total Number of Students}[/tex]

[tex]\texttt{Blue Shirt Students} = \frac{1}{6} \times 36[/tex]

[tex]\texttt{Blue Shirt Students} = \boxed{6}[/tex]

²/₃ of the students are wearing white shirts.

[tex]\texttt{White Shirt Students} = \frac{2}{3} \times \texttt{Total Number of Students}[/tex]

[tex]\texttt{White Shirt Students} = \frac{2}{3} \times 36[/tex]

[tex]\texttt{White Shirt Students} = \boxed{24}[/tex]

Finally, the number of students wearing other clothes can be found in the following way:

[tex]\texttt{Other Shirt Students} = \texttt{Total Number of Students} - \texttt{Blue Shirt Students} -\texttt{White Shirt Students}[/tex]

[tex]\texttt{Other Shirt Students} = 36 - 6 - 24[/tex]

[tex]\texttt{Other Shirt Students} = 36 - 30[/tex]

[tex]\texttt{Other Shirt Students} = \boxed{6}[/tex]

Learn more

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent