Full solution

Q. If your faucet drips at one drop per second, it will dispense

6000

gallons of waters per year you have three faucets in your house which leak at three drops of water per second how many gallons of water will leak from these faucets in six months

Calculate Drops per Year: Step $1$ : Calculate the total number of drops per year for one faucet. $\newline$ Reasoning: One faucet drips at one drop per second. $\newline$ Calculation: $1 \text{ drop/second} \times 60 \text{ seconds/minute} \times 60 \text{ minutes/hour} \times 24 \text{ hours/day} \times 365 \text{ days/year} = 31,536,000 \text{ drops/year}.$
Convert Drops to Gallons: Step $2$ : Convert drops to gallons for one faucet per year. $\newline$ Reasoning: Given that $1$ faucet dispenses $6000$ gallons per year. $\newline$ Calculation: $31,536,000$ drops/year $=$ $6000$ gallons/year.
Calculate Drops for Three Faucets: Step $3$ : Calculate the total number of drops per year for three faucets. $\newline$ Reasoning: Each of the three faucets drips at $3$ drops per second. $\newline$ Calculation: $3$ faucets $\times 3$ drops/second/faucet $\times 60$ seconds/minute $\times 60$ minutes/hour $\times 24$ hours/day $\times 365$ days/year $= 283,824,000$ drops/year.
Convert Drops to Gallons for Three Faucets: Step $4$ : Convert the total number of drops to gallons for three faucets per year. $\newline$ Reasoning: If $31,536,000$ drops $= 6000$ gallons, then $283,824,000$ drops $= ?$ $\newline$ Calculation: $(283,824,000 \text{ drops} / 31,536,000 \text{ drops}) \times 6000 \text{ gallons} = 54,000 \text{ gallons/year}.$
Calculate Gallons for Six Months: Step $5$ : Calculate the amount of water in gallons for six months. $\newline$ Reasoning: The calculation above gives the yearly amount, so for six months, it's half. $\newline$ Calculation: $54,000 \text{ gallons/year} / 2 = 27,000 \text{ gallons for six months}.$