Nora had some gold coins and yellow coins in 2 boxes. In Box F, the ratio of the number of gold coins to yellow coins was 8 : 5. In Box G, the number of gold coins was 4 times the number of yellow coins. Nora transferred ³₅ of the yellow coins from Box F to Box G. The number of coins in Box F became 140 and the ratio of the number of gold coins to yellow coins in Box G became 8 : 9.

1. How many yellow coins were transferred from Box F to Box G?
2. What was the number of coins in Box G after the transfer?

	Box F		Box G
	Gold	Yellow	Gold	Yellow
Comparing gold coins and yellow coins at first	8 u	5 u	4x2 = 8 p	1x2 = 2 p
Before		5 u
Change		- 3 u		+ 3 u
After		2 u
Comparing gold coins and yellow coins in the end	8 u	2 u	8 p	9 p

(a)
Total number of coins in the end for Box F
= 8 u + 2 u
= 10 u

10 u = 140

1 u = 140 ÷ 10 = 14

Number of yellow coins that were transferred from Box F to Box G
= 3 u
= 3 x 14
= 42

(b)
The number of gold coins in Box G remains unchanged.  Make the number of gold coins in Box G the same.  LCM of 4 and 8 is 8. 

Increase in the number of yellow coins in Box G
= 9 p - 2 p
= 7 p

7 p = 3 u
7 p = 42

1 p = 42 ÷ 7 = 6

Number of coins in Box G in the end
= 8 p + 9 p
= 17 p
= 17 x 6
= 102

Answer(s): (a) 42; (b) 102