Question

30% of Number A is the same as 40% of Number B.

What could A and B be?
Think of lots of answers if you can.

Answer 1

30% of number A means

`(30A)/(100)=(3A)/(10)`

similarly, 40% of number B means

`(40B)/(100)=(2B)/(5)`

These must be equal, so we have

`(3A)/(10)=(2B)/(5)`

Multiply both sides by 10 to get

`3A=4B \iff A=(4B)/(3)`

So, you can choose any number for A, and then you multiply it by 4/3 to get B. There are infinitely many solutions to this equation.