AskQ logo

STUCK ON HOMEWORK?

ASK FOR HELP FROM OUR KIASUPARENTS.COM COMMUNITY!

Question

Answer

Key point to take note:

Total books Ben and Jann have is the same before and after Jann gave books to Ben.

Ben has 1 part and Jann has 5 parts initially. Total 6 parts.

After Jann gave Ben 4 books, Ben has 1 part and Jann has 3 parts total 4 parts.

So since total # is the same, it is good to make the total parts to be the same in both situation, that is the LCM of 6 and 4 which is 12.

So initially,

Ben has 2 parts and Jann has 10 parts.

After Jann gave Ben 4 books, Ben has 3 parts and Jann has 9 parts.

Or 1 part = 4 books

So Jann has 4*9=36 books in the end.

0 Replies 1 Like

                                                     Ben               Jann

At first                                           u                    5u

Jann gave Ben books               +4                   -4

In the end                                                         3p

u+4 = p

5u-4 = 3p = 3(u+4)

5u-3u = 12 +4

2u = 16

u = 8

Jann’s books at first = 5 x 8 = 40

Jann’s books in the end = 40-4 = 36

0 Replies 1 Like