Jack had ¹₂ as many erasers as Carl. Carl had ²₃ as many erasers as Lucy. After Jack and Lucy gave 14 erasers to Carl, Carl had four times as many erasers as Jack. Lucy then had the same number of erasers as Carl.

1. What was the ratio of the number of erasers Jack had to the number of erasers Lucy had in the beginning? Answer in simplest form.
2. How many erasers did Carl have in the end?

Jack	Carl	Lucy
1	2
	2	3
1	2	3

(a)
The number of erasers that Carl is repeated.  

Ratio of the number of erasers that Jack had to the number of erasers that Lucy had in the beginning = 1 : 3

	Jack	Carl	Lucy	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 14	+ 28	- 14
After	1x2 = 2 u	4x2 = 8 u	4x2 = 8 u	9x2 = 18 u

The total number of erasers at first and in the end remains unchanged. Make the total number of erasers the same. LCM of 6 and 9 is 18.

Number of erasers that Carl received from Jack and Lucy
= 2 x 14
= 28

Number of erasers that Carl received from Jack and Lucy
= 2 x 1 u
= 2 u

2 u = 14

1 u = 14 ÷ 2 = 7

Number of erasers that Ashley had in the end
= 8 u
= 8 x 7
= 56