Question

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 a blue or white?

Answer 1

6 students

Further explanation

Given:

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.

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:

$\boxed{ \ = \frac{1}{6} \times 36 \ students \ }$

$\boxed{\boxed{ \ 6 \students \ }}$

White shirts:

$\boxed{ \ = \frac{2}{3} \times 36 \ students \ }$

We cross out 36 and 3 because they both can be divided.

$\boxed{ \ = \frac{2}{1} \times 12 \ students \ }$

$\boxed{\boxed{ \ 24 \ students \ }}$

And now, we will find out how many students are wearing a shirt other than blue or white.

$\boxed{ \ = 36 - 6 - 24 \ }$

$\boxed{\boxed{ \ 6 \students \ }}$

- - - - - - - - - -

Quick Steps:

Step-1: prepare a proportion of students who wear a shirt other than blue and white

$\boxed{ \ = 1 - \frac{1}{6} - \frac{2}{3} \ }$

$\boxed{ \ = \frac{6}{6} - \frac{1}{6} - \frac{4}{6} \ }$

$\boxed{\boxed{ \ \frac{1}{6} \ }}$

Step-2: calculate how many students who wear a shirt other than blue and white

$\boxed{ \ = \frac{1}{6} \times 36 \ students \ }$

$\boxed{\boxed{ \ 6 \students \ }}$

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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

Answer 2

Total number of students in the class = 36
Number of students wearing blue shirts = (1/6) * 36
                                                                 = 36/6
                                                                 = 6
Number of students wearing white shirts = (2/3) * 36
                                                                  = 2 * 12
                                                                  = 24
Then
Number of students not wearing blue or white shirts in the class = 36 - (6 + 24)
                                                                                                        = 36 - 30
                                                                                                        = 6
So 6 students in the class are wearing a shirt other than a blue or a white shirt. I hope the procedure is clear enough for you to understand.