Question

33 1/3% of what number is 25?

Answer 1

For a given number N, the 33 1/3 % of it is equal to 25.

This means that:

`N\cdot(33(1)/(3))/(100)=25`

This is equivalent to:

`N=(100)/(33(1)/(3))\cdot25`

Write 33 1/3 as an improper fraction:

`33(1)/(3)=33+(1)/(3)=(33\cdot3)/(3)+(1)/(3)=(99)/(3)+(1)/(3)=(100)/(3)`

Substitute that expression in the equation for N:

`N=(100)/(((100)/(3)))25=(100)/(100)\cdot3\cdot25=3\cdot25=75`

Therefore, 33 1/3 % of 75 is 25.