Question

During 1964, in a certain country, the average number of children eating lunches at school each day was 29336 which represents 74% of the total number of children attending school. Calculate the total number of children attending school in that country?

Answer 1

The total number of children attending school was 39643

Explanation:

Percentages

To calculate the percentage of a quantity X with respect to another quantity Y, we use the formula:

`\displaystyle P=(X )/(Y)*100`

Where Y is the base or reference quantity. If we already know the percentage, but not the base quantity Y, we reverse the formula:

`\displaystyle Y=(X )/(P)*100`

During 1964 the number of children eating lunches at school was 29336 per day. We know that quantity is 74% of the total number of children attending school.

We use the above formula to find the base quantity:

`\displaystyle Y=(29336 )/(74)*100`

`Y\approx 39643`

The result was rounded to the closest integer.

The total number of children attending school was 39643