Roman has 2 red pencils in his backpack. if this is 25% of the total number of pencils, how many pencils are in his backpack??? PLEASE HELP!!!!!

Respuesta :

Data:
If:
2 red pencils  → 25% or 0.25
So:
"y" pencils → 75% or 0.75

The rule of three: (directly proportional)
[tex] \frac{2}{y} = \frac{0.25}{0.75} [/tex]
multiply cross
[tex]0.25*y = 2*0.75[/tex]
[tex]0.25y = 1.5[/tex]
[tex]y = \frac{1.5}{0.25} [/tex]
[tex]\boxed{y = 6\:pencils}[/tex]

how many pencils are in his backpack?
Add the values ​​of the pencils

[tex]\boxed{\boxed{2 + 6 = 8\:pencils}}\end{array}}\qquad\quad\checkmark [/tex]

Answer:

Total numer of pencils

= number / its percent

= 2 / 25%

= 2 / (25/100)

= 8