find 33 ​1/3% of p is 19. what is p?

3 answers

33 1/ 3 = 33 * / 3 + 1 / 3 = 99 / 3 + 1 / 3 = 100 / 3

( 100 / 3 ) / 100 = 100 / 3 * 100 = 100 / 300 = 1 / 3

( 1 / 3 ) p = 19

Multiply both sides by 3

p = 19 * 3 = 57
Let 33 ​1/3% = 100/3

(100/3)(p) = 19

Note: The word "of" means to multiply. The word "is" means equal.

(100p)/3 = 19

Multiply both sides by 3.

3*(100p/3) = 3(19)

100p = 57

p = 57/100

This is the correct answer. Bosnian forgot to divide both sides by 100 to isolate p.
33 1/3 /100 * p = 19.
(33 1/3) p = 1900,
(100/3)p = 1900,
Multiply both sides by 3/100:
p = 57.