Lee had ³₄ as many pens as Perry. Perry had ⁴₇ as many pens as Jaslyn. After Lee and Jaslyn gave 10 pens to Perry, Perry had thrice as many pens as Lee. Jaslyn then had the same number of pens as Perry.

1. What was the ratio of the number of pens Jaslyn had to the number of pens Lee had in the beginning? Answer in simplest form.
2. How many pens did Perry have in the end?

Lee	Perry	Jaslyn
3	4
	4	7
3	4	7

(a)
The number of pens that Perry is repeated.  

Ratio of the number of pens that Jaslyn had to the number of pens that Lee had in the beginning = 7 : 3

	Lee	Perry	Jaslyn	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 10	+ 20	- 10
After	1x2 = 2 u	3x2 = 6 u	3x2 = 6 u	7x2 = 14 u

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

Number of pens that Perry received from Lee and Jaslyn
= 2 x 10
= 20

Number of pens that Perry received from Lee and Jaslyn
= 2 x 1 u
= 2 u

2 u = 10

1 u = 10 ÷ 2 = 5

Number of pens that Ashley had in the end
= 6 u
= 6 x 5
= 30