Question

The ratio of Cheko's books to Miko's books is 5 : 12. Miko has 48 books. How many books must Miko give to Cheko so that both will have the same number of books?

Answer 1

Explanation:

Cheko's books (C) to Miko's books (M) is 5 : 12

C/M = 5/12

C = (5/12)M

We know M=48, so:

C = (5/12)(48)

C = 5*(48/12)

C = 5*4

C = 20 [Cheko has 20 books]

We want M=C, so Miko must give Cheko x number of books so that C/M is (1/1) or 1.

C/M is currently 20/48

We want C/M = (20+x)/(48-x) = 1

(20+x)/(48-x) = 1

(20+x) = (48-x)

2x = 28

x = 14

Once Miko gives Cheko 14 books, they each have the same number: (48-14)/(20+14) = 34/34. Everyone's happy. [We don't know WHICH books Miko chose to give to Cheko. Rumor is all 14 were math books]