The Randolphs used 12 more gal of fuel oil in October
than in September and twice as much oil in November as in September. If they
used 132 gal for the 3 months, how much was used during each month?
Let x = the gallons of fuel oil used in September, and solve this equation.
x + (x + 12) + 2x = 132
To solve the equation, combine like terms:
4x + 12 = 132
Next, isolate the term with the variable:
4x = 132 - 12
Simplify:
4x = 120
Now, divide both sides by 4 to solve for x:
x = 120 / 4
x = 30
Therefore, the Randolphs used 30 gallons of fuel oil in September.
To find the amount used in October, add 12 gallons to this:
October = 30 + 12 = 42 gallons
To find the amount used in November, multiply the amount used in September by 2:
November = 30 * 2 = 60 gallons
Therefore, the Randolphs used 30 gallons of fuel oil in September, 42 gallons in October, and 60 gallons in November.