33 1/3% of what number is 25?

Question

asked Dec 23, 2023 52.6k views

1 Answer

Guillem · Answer 1 · 2023-12-29T17:23:57+0000

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.