Final answer:
To solve this problem, we can set up a proportion to find the amount of water used to wash 11 loads of laundry.
Step-by-step explanation:
To solve this problem, we can set up a proportion. In this case, the amount of water used is directly proportional to the number of loads of laundry. We can set up the proportion as follows:
Water used / Number of loads = Water used / Number of loads
Using the given information, we can write the proportion as:
36 gallons / 6 loads = x gallons / 11 loads
To solve for x, we can cross-multiply and solve for x:
36 * 11 = 6 * x
396 = 6x
x = 396 / 6
x = 66
Therefore, the washing machine will use 66 gallons of water to wash 11 loads of laundry.