Final answer:
Armin will use 3 1/3 glue sticks to decorate one entire poster.
Step-by-step explanation:
To find out how many glue sticks Armin will use to decorate one entire poster, we can set up a proportion. The amount of glue sticks used is directly proportional to the amount of poster decorated. Let's say Armin used x glue sticks to decorate the entire poster. We can set up the proportion:
(2/3) glue sticks / (1/5) poster = x glue sticks / 1 poster
Now, we can cross-multiply and solve for x:
(2/3) * 1 = x * (1/5)
2/3 = x/5
Multiplying both sides by 5:
5 * (2/3) = x
Simplifying the left side:
x = 10/3 = 3 1/3 glue sticks
Therefore, Armin will use 3 1/3 glue sticks to decorate one entire poster.