6 students
Given:
In a classroom,
There are 36 students in the class.
Question:
How many students are wearing a shirt other than a blue or white?
The Process:
Let us calculate the number of students who are wearing blue shirts and white shirts.
Blue shirts:
[tex]\boxed{ \ = \frac{1}{6} \times 36 \ students \ }[/tex]
[tex]\boxed{\boxed{ \ 6 \students \ }}[/tex]
White shirts:
[tex]\boxed{ \ = \frac{2}{3} \times 36 \ students \ }[/tex]
We cross out 36 and 3 because they both can be divided.
[tex]\boxed{ \ = \frac{2}{1} \times 12 \ students \ }[/tex]
[tex]\boxed{\boxed{ \ 24 \ students \ }}[/tex]
And now, we will find out how many students are wearing a shirt other than blue or white.
[tex]\boxed{ \ = 36 - 6 - 24 \ }[/tex]
[tex]\boxed{\boxed{ \ 6 \students \ }}[/tex]
- - - - - - - - - -
Quick Steps:
Step-1: prepare a proportion of students who wear a shirt other than blue and white
[tex]\boxed{ \ = 1 - \frac{1}{6} - \frac{2}{3} \ }[/tex]
[tex]\boxed{ \ = \frac{6}{6} - \frac{1}{6} - \frac{4}{6} \ }[/tex]
[tex]\boxed{\boxed{ \ \frac{1}{6} \ }}[/tex]
Step-2: calculate how many students who wear a shirt other than blue and white
[tex]\boxed{ \ = \frac{1}{6} \times 36 \ students \ }[/tex]
[tex]\boxed{\boxed{ \ 6 \students \ }}[/tex]
Keywords: in a classroom, 1/6 of the students, wearing blue shirts, 2/3, white shirts, there are 36 students, in the class, how many students, other than a blue or white, proportion
