Vanessa and Cody collect marbles and pencils. Cody has 60 more pencils than marbles. Cody has 5 times the number of marbles Vanessa has, and Vanessa has 25% more pencils than Cody. After Vanessa gives Cody all of her marbles and Cody gives Vanessa 60% of his pencils, Cody has 56 more marbles than pencils. Find the number of pencils Vanessa has at first.

Vanessa		Cody
Pencils	Marbles	Pencils	Marbles
6.25 u + 75	1 u	5 u + 60	5 u
+ 3 u + 36	- 1 u	- 3 u - 36	+ 1 u
9.25 u + 111	0	2 u + 24	6 u

100% + 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 60
= ¹²⁵₁₀₀ x 60
= 75 

60% x 5 u
= ⁶⁰₁₀₀ x 5 u
= 3 u  

60% x 60 
= ⁶⁰₁₀₀ x 60
= 36 

If another 56 pencils are given to Cody, he will have equal number of pencils and marbles in the end.
6 u = 2 u + 24 + 56
6 u - 2 u = 80
4 u = 80

1 u = 80 ÷ 4 = 20

Number of pencils that Vanessa has at first
= 6.25 u + 75
= 6.25 x 20 + 75
= 125 + 75
= 200
 
Answer(s): 200