Many years ago, a cruise liner sank in the middle of the Pacific Ocean. The survivors luckily landed on a remote desert island. There was enough food for the 220 people to last three weeks. Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food. The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?

Question

Many years ago, a cruise liner sank in the middle of the Pacific Ocean. The survivors luckily landed on a remote desert island. There was enough food for the 220 people to last three weeks. Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food. The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?

Answer 1

At the beginning, there were 220 * 21 = 4620 portions of food.

In the first six days they ate 1320 portions.

4620 - 1320 = 3300

Try to finish the problem from here.

Answer 2

To find out how many days in total the food would last from the day of the original sinking, we need to calculate the combined number of people on the island after the rescue ship sank, and then divide the initial supply of food by the new number of survivors to determine how long it will last.

Let's break down the problem step by step:

1. Initially, there were 220 survivors and enough food to last them 3 weeks. Since a week has 7 days, this means they had food for 3 weeks * 7 days per week = 21 days.

2. Six days later, a rescue ship sank, adding 55 more survivors to the island. Therefore, the total number of survivors is now 220 + 55 = 275 people.

3. Since the food supply needs to be re-rationed, everyone is now on half of the original ration. This means each person would receive 1/2 of the initial ration.

4. To find out how many days the food would now last, we divide the initial number of days (21) by the new number of survivors (275) multiplied by their ration (1/2). This can be calculated as:
21 days / (275 people * 1/2 ration/person) = 21 days / (275 * 1/2) = 21 / (275/2) = 21 * (2/275) = 42/275 = 0.1527 days per person.

So, the food will now last for approximately 0.1527 days per person, or in other words, around 0.153 days per person.

Please note that this calculation assumes that the amount of food remains constant and no additional resources (e.g., fishing or hunting) are available on the remote desert island.