Sure, let's solve the problem step by step:
1. Identify the total number of pupils:
The total number of pupils in the canteen is given as 60.
2. Determine the fraction of pupils in the queue:
It is given that [tex]\(\frac{1}{6}\)[/tex] of the pupils are in the queue to buy food.
3. Calculate the number of pupils in the queue:
To find out the number of pupils in the queue, we need to multiply the total number of pupils by the given fraction.
So, [tex]\( \frac{1}{6} \)[/tex] of 60 is calculated as:
[tex]\[
60 \times \frac{1}{6} = 10
\][/tex]
Thus, there are 10 pupils in the queue to buy food.
4. Determine the number of pupils not buying food:
To find out how many pupils are not buying food, we subtract the number of pupils in the queue from the total number of pupils.
Therefore:
[tex]\[
60 - 10 = 50
\][/tex]
Hence, there are 50 pupils who are not buying food.
In conclusion, there are 50 pupils who are not buying food.