After Jack added 152 gallons of water to a halffull bucket o

After Jack added 15.2 gallons of water to a half-full bucket of water, the total volume of water in the bucket was 3734 gallons.

Solution

x=full quantity

3734 gallons=15.2 gallons +0.5(x gallons)
For simplification, let\'s eliminate the work gallons by dividing both sides by gallons...
(3734 gallons)/gallons=(15.2 gallons) +((0.5x gallons)/gallons)
Cancelling words is just as important as cancelling numbers...
3734=15.2+0.5x

Let\'s proceed to isolate x by subtracting 15.2 from both sides...
-15.2+3734=15.2+0.5x-15.2
3718.8=0.5x
Let\'s divide both sides by 0.5...
3718.8/0.5=(0.5x)/0.5
7437.6=x