Respuesta :

Answer:

There are 5 red pencils

Step-by-step explanation:

fraction of green pencils:

[tex] = 1 - \frac{1}{3} \\ \\ = \frac{2}{3} [/tex]

let total pencils be x :

[tex] \frac{2}{3} \: of \: x = 10 \: green \: pencils \\ \\ \frac{2}{3} \times x = 10 \\ \\ 2x = 3 \times 10 \\ x = \frac{3 \times 10}{2} \\ \\ x = 15 \: pencils[/tex]

Total pencils = 15

Red pencils:

[tex] = 15 - 10 \\ = 5 \: pencils[/tex]