Answer: To find the number of classrooms that will get painted, we can divide the total amount of blue paint purchased by the amount of paint needed for each classroom.
Total amount of blue paint purchased = 9 gallons
Amount of paint needed for each classroom = 3/4 gallon
Number of classrooms = Total amount of blue paint purchased ÷ Amount of paint needed for each classroom
Number of classrooms = 9 gallons ÷ (3/4) gallon
To divide by a fraction, we multiply by its reciprocal:
Number of classrooms = 9 gallons * (4/3) gallon
Now, multiply the numerators and denominators:
Number of classrooms = (9 * 4) / 3
Number of classrooms = 36 / 3
Number of classrooms = 12
So, 12 classrooms will get painted with the 9 gallons of blue paint purchased.