In March, Tammy and Warren had coins in the ratio 12 : 5. In April, each of them gave away the same number of coins. Tammy then had thrice as many coins as Warren.

1. Find the ratio of the number of coins Warren had in March to the number of coins he had in April.
2. Find the ratio of the total number of coins both had in March to the total number of coins both had in April.

	Tammy	Warren	Difference
Before	12x2 = 24 u	5x2 = 10 u	7x2 = 14 u
Change	- 3 u	- 3 u
After	3x7 = 21 u	1x7 = 7 u	2x7 = 14 u

(a)
Since Tammy and Warren gave away the same number of coins, the difference in the number of coins between Tammy and Warren at first and in the end remains the same.

Make the difference in the number of coins at first and in the end the same. LCM of 7 and 2 is 14.

Warren's coins in March : Warren's coins in April
10 : 7

(b)
Total number of coins in March
= 24 u + 10 u
= 34 u

Total number of coins in April
= 21 u + 7 u
= 28 u

Total coins in March : Total coins in April
34 : 28 _(÷2)
17 : 14 

Answer(s): (a) 10 : 7; (b) 17 : 14