Answer :
To determine which statements we can say for sure are true given the information provided, let’s examine each statement based on the satisfaction levels in utils for Jenny and Sarah.
1. Sarah likes Snickers bars more than Jenny does.
- False. Jenny's satisfaction from a Snickers bar is 30 utils, while Sarah's is 15 utils. Therefore, Jenny likes Snickers bars more than Sarah does.
2. Jenny likes Snickers bars twice as much as Sarah does.
- True. Jenny's satisfaction is 30 utils, which is exactly double Sarah's satisfaction of 15 utils.
3. Jenny likes Snickers bars more than Sarah does.
- True. As stated above, Jenny's satisfaction is 30 utils compared to Sarah's 15 utils.
4. Sarah likes Snickers bars more than Milky Way bars.
- Cannot be determined. There is no information provided about Sarah’s satisfaction levels for Milky Way bars.
5. Jenny's satisfaction from consuming a Milky Way bar must be less than 30 utils.
- True. Since it is stated that Jenny prefers Snickers over Milky Way bars, her satisfaction from a Milky Way bar must be less than the 30 utils she gets from a Snickers bar.
6. Jenny likes Snickers bars the most.
- Cannot be determined. While we know Jenny prefers Snickers bars over Milky Way bars, we do not have information about other types of bars that Jenny might like more than Snickers.
7. Knowing the price of Snickers bars is needed in order to find out who likes Snickers bars the most.
- False. The satisfaction (utils) from consuming the Snickers bars for Jenny and Sarah has already provided enough information to determine who likes Snickers bars more.
Now that we’ve examined each statement, the true statements can be identified as follows:
- Jenny likes Snickers bars twice as much as Sarah does.
- Jenny likes Snickers bars more than Sarah does.
- Jenny's satisfaction from consuming a Milky Way bar must be less than 30 utils.
1. Sarah likes Snickers bars more than Jenny does.
- False. Jenny's satisfaction from a Snickers bar is 30 utils, while Sarah's is 15 utils. Therefore, Jenny likes Snickers bars more than Sarah does.
2. Jenny likes Snickers bars twice as much as Sarah does.
- True. Jenny's satisfaction is 30 utils, which is exactly double Sarah's satisfaction of 15 utils.
3. Jenny likes Snickers bars more than Sarah does.
- True. As stated above, Jenny's satisfaction is 30 utils compared to Sarah's 15 utils.
4. Sarah likes Snickers bars more than Milky Way bars.
- Cannot be determined. There is no information provided about Sarah’s satisfaction levels for Milky Way bars.
5. Jenny's satisfaction from consuming a Milky Way bar must be less than 30 utils.
- True. Since it is stated that Jenny prefers Snickers over Milky Way bars, her satisfaction from a Milky Way bar must be less than the 30 utils she gets from a Snickers bar.
6. Jenny likes Snickers bars the most.
- Cannot be determined. While we know Jenny prefers Snickers bars over Milky Way bars, we do not have information about other types of bars that Jenny might like more than Snickers.
7. Knowing the price of Snickers bars is needed in order to find out who likes Snickers bars the most.
- False. The satisfaction (utils) from consuming the Snickers bars for Jenny and Sarah has already provided enough information to determine who likes Snickers bars more.
Now that we’ve examined each statement, the true statements can be identified as follows:
- Jenny likes Snickers bars twice as much as Sarah does.
- Jenny likes Snickers bars more than Sarah does.
- Jenny's satisfaction from consuming a Milky Way bar must be less than 30 utils.
