Ken bought some books at an average of $3.50 each. he bought another 2 books at $6 each and the average price became $4. how many books did he buy altogether?
STUCK ON HOMEWORK?
ASK FOR HELP FROM OUR KIASUPARENTS.COM COMMUNITY!
Question
Answer
Ender
2 books at $6 average dropped to $4 average after combining with other other books. That is $2 dropped each making a total of $4.
Now this $4 dropped from the 2 books has affected the raise in average of the $3.50 books to $4. That is $0.50 each. In other words using this $4 dropped to raise the $3.50 books. They each rises by $0.50 and they also sum up to $4 to match the drop.
So below is the working,
Total dropped by the 2 books = total rises of the “$3.50” books = (6-4) x 2 = $4
Rise in each $3.50 average books = $4 – $3.50 = $0.50
The number of the average $3.50 books are = $4/0.50 = 8 books
Together with the other $6 average book , there are 8+2= 10 books.###
Here’s another example
Edit note: Added a picture representation to describe my working. Acestarling style.
Ender
2 books at $6 average dropped to $4 average after combining with other other books. That is $2 dropped each making a total of $4.
Now this $4 dropped from the 2 books has affected the raise in average of the $3.50 books to $4. That is $0.50 each. In other words using this $4 dropped to raise the $3.50 books. They each rises by $0.50 and they also sum up to $4 to match the drop.
So below is the working,
Total dropped by the 2 books = total rises of the “$3.50” books = (6-4) x 2 = $4
Rise in each $3.50 average books = $4 – $3.50 = $0.50
The number of the average $3.50 books are = $4/0.50 = 8 books
Together with the other $6 average book , there are 8+2= 10 books.###
Here’s another example
Edit note: Added a picture representation to describe my working. Acestarling style.
Acestarling
Just another alternative using similar concept as Ender.
Ender
Pictures speaks a thousand words. Got time, maybe I will draw one up too.