Final answer:
To find out how much paint it will take to paint the whole room when 1/3 took 1/4 gallon, you multiply 1/4 gallon by 3, which equals 3/4 gallon. This is the amount of paint needed to cover the entire room.
Step-by-step explanation:
When Ike painted 1/3 of his room using 1/4 gallon of paint, you can set up a proportion to determine the total amount of paint needed for the entire room. Since 1/3 of the room took 1/4 gallon of paint, the entire room would require three times that amount because 1/3 times 3 equals a whole. Therefore, the total amount of paint needed would be:
1/4 gallon for 1/3 of the room
1/4 gallon × 3 = 3/4 gallon for the whole room
This calculation is based on the fact that you are multiplying a fraction by a whole number, which involves multiplying the numerator (the top number) by the whole number and keeping the denominator (the bottom number) the same. No conversion from gallons to quarts is required in this case, and the answer is directly in gallons.