You are draining your fish aquarium. After 2 min. there are
6 gallons of water in the
aquarium. After 10 min the
aquarium is empty. Type an
equations that represents the
volume y of water in the
aquarium after x minutes.
uarium

Represent the longer piece of the rope as (18 + x) and the shorter piece as x. The rope is 100 feet long, so:

(18 + x) + x = 100      Set up equation

18 + x + x = 100        Arrange like terms

18 + 2x = 100            Combine like terms

2x = 82                     Subtract 18 from both sides

x = 41                       Divide both sides by 2

Longer rope length: 12+ 31 =43 feet

Shorter rope length: 57 feet

Check: 59 + 41 = 100 feet

Step-by-step explanation: