A GARDEN places some lilies in a pond.he does this on the first day of the month of september.the lilies double in volume every day until on the last day of the month,the pool is full.on what day of the month was the pool half full of lilies?
the next-to-last day of the month.
29th september
To find out on what day of the month the pond was half full of lilies, we can work backward from the last day of the month when the pond is full.
Since the lilies double in volume every day, we need to determine the number of times the volume doubles to reach the full capacity on the last day of the month.
Let's start with some calculations:
On the last day of the month, the pond is full, meaning the lilies have doubled in volume every day for the whole month.
Since September has 30 days, the pond was full on the 30th day. This means that the pond was half full on the day before, which is the 29th day.
Continuing backward, we can find the day when the pond was one-fourth full by subtracting another day. So, the pond was one-fourth full on the 28th day of September.
We can repeat this process for finding the day when the pond was one-eighth full, one-sixteenth full, and so on until we reach the day when it was half full.
Subtracting one more day, the pond was one-eighth full on the 27th day.
Repeating this process, the pond was one-sixteenth full on the 26th day, one-thirty-second full on the 25th day, and so on.
Finally, the pond would have been half full, which is the same as being one-half full, when it reached one-sixty-fourth full. Subtracting one more day, the pond would be one-sixty-fourth full on the 24th day of September.
Therefore, the pond was half full of lilies on the 24th day of the month.