Nicki has 30 pencils. for every green pencil, she has 5 purple pencils. how many pencils of of each color could she have

Step-by-step explanation:

(1) P = 5G

(2) G + P = 30

Substituting (1) into (2) gives:

G + 5G = 30

6G = 30

G = 5

So there are 5 green pencils.

Now using that in (1) gives us P = 5 x 5 = 25

So there are 5 green pencils and 25 purple pencils.