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First, we need to convert the measurements to a common unit.
1/4 cup is equivalent to 4 tablespoons.
So the old washing machine used 4 tablespoons of detergent per load.
The new washing machine uses 2 tablespoons of detergent per load.
The difference in detergent used per load is 4 - 2 = 2 tablespoons.
If the restaurant washes 42 loads in one month, the total amount of detergent saved monthly is 2 tablespoons/load * 42 loads = 84 tablespoons.
Therefore, the restaurant will save 84 tablespoons of detergent monthly by using the new washing machine.