Grades 7-8 Video Solutions 2022-2022_7-8

Video Transcription

Question 30. There are 2,022 kangaroos and some koalas living across seven parks.  In each park, the number of kangaroos is equal to the total number of koalas in all the other parks. How many koalas live in the seven parks in total?  Start off, let's write down the seven different parks,  leaving spaces for how many kangaroos and how many koalas each park has.  If we say that there is one koala in Park 1, according to the rules set by the question,  there has to be one kangaroo in every other park. So the total will be six kangaroos and one koala.  Let's say that we add another koala, this time to Park 2. Now we have to add one kangaroo to every other park, and it will look like this. The total now becomes 12 to 2.  We can quickly notice that each time we add a koala, we have to add six kangaroos. Knowing this,  we no longer need this visual. All we have to do is take 2,022 kangaroos and recognize that  if we divide by three, we will get our answer in total of koalas. So doing just that, 2,022 divided by six, we will get our solution, which will be B, 337.

Video Summary

Question 30. There are 2,022 kangaroos and some koalas living across seven parks. In each park, the number of kangaroos is equal to the total number of koalas in all the other parks. How many koalas live in the seven parks in total? Start off, let's write down the seven different parks, leaving spaces for how many kangaroos and how many koalas each park has. If we say that there is one koala in Park 1, according to the rules set by the question, there has to be one kangaroo in every other park. So the total will be six kangaroos and one koala. Let's say that we add another koala, this time to Park 2. Now we have to add one kangaroo to every other park, and it will look like this. The total now becomes 12 to 2. We can quickly notice that each time we add a koala, we have to add six kangaroos. Knowing this, we no longer need this visual. All we have to do is take 2,022 kangaroos and recognize that if we divide by three, we will get our answer in total of koalas. So doing just that, 2,022 divided by six, we will get our solution, which will be B, 337.