Grades 7-8 Video Solutions 2023-2023_7-8

Video Transcription

Question 26. Some mice live in three neighboring houses. Last night, every mouse left its house  and moved to one or the other of the two other houses, always taking the shortest route. The numbers in the diagram show the number of mice per house,  yesterday and today. How many mice use the path shown by the arrow? To solve this problem, we need to recognize that there are 8 and 7 mice that would potentially  use that path, so that gives us a total of 15. A maximum of 15 mice could use the path pointed at by the arrow. We also have to recognize that there are 4 mice in the other house,  so that means 4 mice did not use that path out of the 15.  Doing this, we just need to do a simple math of 15 minus 4, giving us our answer B, 11.

Video Summary

The problem involves determining how many mice used a specific path when moving between three houses. Initially, it's possible for 15 mice to use the path, given the distribution of 8 and 7 mice potentially using it. However, recognizing that four mice remained in another house, these four did not take the path in question. By subtracting the four mice from the 15, we deduce that 11 mice used the indicated path, leading to the answer of 11.

Keywords

mice

path

houses

distribution

deduction