He can use 3.52/22-n = 24/100 equation to find n, where n is the number of gallons of water.
Calculation of amount of ammonia in 22 gallon of 16% ammonia solution.
amount of ammonia = 16%×22 gallon = 3.53 gallon
The amount of ammonia remains the same after evaporation of water but the total amount of solution is reduced because solution contain ammonia as well as water . So, if water is evaporate then solution reduced.
Amount of water remains = 22 - n
Desired concentration, 24% = 24/100
Therefore the final equation becomes,
3.52/22-n = 24/100
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