Victoria and Japheth collect marbles and pencils. Japheth has 100 more pencils than marbles. Japheth has 5 times the number of marbles Victoria has, and Victoria has 25% more pencils than Japheth. After Victoria gives Japheth all of her marbles and Japheth gives Victoria 60% of his pencils, Japheth has 8 more marbles than pencils. Find the number of pencils Victoria has at first.

Victoria		Japheth
Pencils	Marbles	Pencils	Marbles
6.25 u + 125	1 u	5 u + 100	5 u
+ 3 u + 60	- 1 u	- 3 u - 60	+ 1 u
9.25 u + 185	0	2 u + 40	6 u

100% + 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 100
= ¹²⁵₁₀₀ x 100
= 125 

60% x 5 u
= ⁶⁰₁₀₀ x 5 u
= 3 u  

60% x 100 
= ⁶⁰₁₀₀ x 100
= 60 

If another 8 pencils are given to Japheth, he will have equal number of pencils and marbles in the end.
6 u = 2 u + 40 + 8
6 u - 2 u = 48
4 u = 48

1 u = 48 ÷ 4 = 12

Number of pencils that Victoria has at first
= 6.25 u + 125
= 6.25 x 12 + 125
= 75 + 125
= 200
 
Answer(s): 200