Grades 5-6 Video Solutions 2023-2023_1-2

Video Transcription

Question 19. Olivia wants to swap two numbers so that the sum of the numbers in the white cells  is equal to the sum of the numbers in the gray cells. Which two numbers does she need to swap?  Let's start off by getting the sums of the numbers in the gray cells and the white cells by setting up these formulas. When we add these numbers together we get 20 and 40.  The difference between the white and the gray cells will be 20 since 40 minus 20 is 20.  Now to figure out what numbers we need to swap we can do this. We take the difference of the sums 20 divide by 2 and get 10. With this we know that the two numbers that need to swap  have to have a difference of 10 and the only numbers that satisfy that are 11 and 1 since 11 minus 1 will give us 10. So the answer will be A.

Video Summary

Question 19. Olivia wants to swap two numbers so that the sum of the numbers in the white cells is equal to the sum of the numbers in the gray cells. Which two numbers does she need to swap? Let's start off by getting the sums of the numbers in the gray cells and the white cells by setting up these formulas. When we add these numbers together we get 20 and 40. The difference between the white and the gray cells will be 20 since 40 minus 20 is 20. Now to figure out what numbers we need to swap we can do this. We take the difference of the sums 20 divide by 2 and get 10. With this we know that the two numbers that need to swap have to have a difference of 10 and the only numbers that satisfy that are 11 and 1 since 11 minus 1 will give us 10. So the answer will be A.

Keywords

swap numbers

sum difference

gray cells

white cells

number swap