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

Video Transcription

Question 16. Werner wrote several positive numbers smaller than 7 on a piece of paper.  Ria then crossed out all of Werner's numbers and replaced each of them with their difference from 7. The sum of Werner's numbers was 22. The sum of Ria's numbers is 34.  How many numbers did Werner write down?  So we can start off by getting the sum of both of their numbers. Werner had 22 and Ria had 34. This gives us a total of 56. Next, we can represent Werner's numbers as n.  And then we know that each of Ria's numbers is their difference from 7. So we can represent this as 7 plus n. What this tells us is it simplifies down to 7.  This is the amount of numbers that we have to divide by. So when we take the sum of Werner's and Ria's numbers, 56, and divide by 7, then we will get our answer, which will be b, 8.

Video Summary

Question 16. Werner wrote several positive numbers smaller than 7 on a piece of paper. Ria then crossed out all of Werner's numbers and replaced each of them with their difference from 7. The sum of Werner's numbers was 22. The sum of Ria's numbers is 34. How many numbers did Werner write down? So we can start off by getting the sum of both of their numbers. Werner had 22 and Ria had 34. This gives us a total of 56. Next, we can represent Werner's numbers as n. And then we know that each of Ria's numbers is their difference from 7. So we can represent this as 7 plus n. What this tells us is it simplifies down to 7. This is the amount of numbers that we have to divide by. So when we take the sum of Werner's and Ria's numbers, 56, and divide by 7, then we will get our answer, which will be b, 8.

Keywords

Werner

Ria

numbers

sum

difference