Question

Dentify the percent, amount, and base in this problem. 75% of what number is 30?

Answer 1

40

Explanation:

This is essentially just (4/3), or
`(3)/(4)^(-1)`. (4/3)*30 = 40, so our answer must be 40. Just to check, taking 75 percent of 40, we indeed get 30!

Answer 2

For this case we must find a number of which 30 represents 75%. For this, we make a rule of three:

x ------------> 100%

30 ----------> 75%

Where the variable "x" determines the base number of which 30 is 75%

`x = \frac {100 * 30} {75}\\\\`

`x=40`

Thus, 30 represents 75% of 40.

Answer:

40