One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all the floors, how much ammonia is needed?

Rationale

720 oz of ammonia is needed.

The amount of ammonia required for the cleaning solution is directly proportional to the volume of the solution. If 1 gallon of solution requires 6 oz of ammonia, then 120 gallons of solution will require 120 times the amount of ammonia.

A (20 oz) YOUR ANSWER

This amount is incorrect because it is not proportional to the original ratio. In the given problem, 1 gallon of cleaning solution requires 6 oz of ammonia. Therefore, 120 gallons would require 120 times as much, or 720 oz of ammonia.

B (20 gallons) YOUR ANSWER

This answer is incorrect because the unit of measurement for the required ammonia is ounces, not gallons. The original problem states that 1 gallon of solution requires 6 oz of ammonia, not 6 gallons.

C (720 oz) CORRECT

This is the correct answer. By multiplying the amount of ammonia required for 1 gallon (6 oz) by the total number of gallons needed (120), we get 720 oz.

D (720 gallons) YOUR ANSWER

This answer is incorrect because, again, the unit of measurement for the required ammonia is ounces, not gallons.

Conclusion

To solve problems involving direct proportions, it is essential to maintain consistency in the units of measurement. In this scenario, if 1 gallon of cleaning solution requires 6 oz of ammonia, then 120 gallons of cleaning solution will require 120 times the amount of ammonia, resulting in 720 oz. The other choices either used the incorrect unit of measurement (gallons instead of ounces) or did not calculate the amount correctly based on the ratio given in the problem.

One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all the floors, how much ammonia is needed?

720 oz of ammonia is needed.

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