Peter had ³₄ as many coins as Oliver. Oliver had ⁴₇ as many coins as Jaslyn. After Peter and Jaslyn gave 12 coins to Oliver, Oliver had thrice as many coins as Peter. Jaslyn then had the same number of coins as Oliver.

1. What was the ratio of the number of coins Peter had to the number of coins Jaslyn had in the beginning? Answer in simplest form.
2. How many coins did Oliver have in the end?

Peter	Oliver	Jaslyn
3	4
	4	7
3	4	7

(a)
The number of coins that Oliver is repeated.  

Ratio of the number of coins that Peter had to the number of coins that Jaslyn had in the beginning = 3 : 7

	Peter	Oliver	Jaslyn	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 12	+ 24	- 12
After	1x2 = 2 u	3x2 = 6 u	3x2 = 6 u	7x2 = 14 u

The total number of coins at first and in the end remains unchanged. Make the total number of coins the same. LCM of 14 and 7 is 14.

Number of coins that Oliver received from Peter and Jaslyn
= 2 x 12
= 24

Number of coins that Oliver received from Peter and Jaslyn
= 2 x 1 u
= 2 u

2 u = 12

1 u = 12 ÷ 2 = 6

Number of coins that Ashley had in the end
= 6 u
= 6 x 6
= 36