All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit. 1/4 of the pupils come from Elmswell. 3/5 of the pupils come from Haughley. 102 pupils come from Woolpit. How many pupils are there in total at the school?

680

Step-by-step explanation:

Given that:

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit.

of the pupils come from Elmswell

of the pupils come from Haughley

102 pupils come from Woolpit.

To find:

Total number of pupils in the school.

Solution:

Let total number of pupils =

So, number of pupils that come from Elmswell = of 100x

OR

And, number of pupils that come from Haughley= of 100x

OR

Number of pupils that come from Woolpit =

As per given statement:

Number of pupils from Elmswell = 25x = 25 6.8 = 170

Number of pupils from Haughley = 60x = 60 6.8 = 408

Total number of pupils at the school =