Final answer:
Using a proportionality equation, it's determined that with 2/3 of a roll of wire, an electrician can wire 1/3 of a room, meaning less than one full room can be wired as 2 rolls of wire are needed per room.
Step-by-step explanation:
How Many Rooms Can Be Wired with 2/3 of a Roll of Wire?
The question involves determining how many rooms can be wired using a fraction of a roll of wire given that an electrician needs 2 rolls of wire for each room. To solve this, we can set up a proportionality equation based on the given information:
1 room requires 2 rolls of wire.
X rooms will require 2/3 of a roll of wire.
Using the equation:
2 rolls/1 room = (2/3) rolls/X rooms
We can solve for X to find out how many rooms can be wired with 2/3 of a roll of wire. By doing the cross multiplication, we get:
2 * X = 1 * (2/3)
X = (2/3) / 2
X = 1/3
Therefore, with 2/3 of a roll of wire, the electrician can wire 1/3 of a room, which is less than one full room.