Vanessa and Tim collect beads and erasers. Tim has 76 less beads than erasers. Tim has 5 times the number of beads Vanessa has, and Vanessa has 25% more erasers than Tim. After Vanessa gives Tim all of her beads and Tim gives Vanessa 75% of his erasers, Tim has 57 less erasers than beads. Find the number of erasers Vanessa has at first.

Vanessa		Tim
Erasers	Beads	Erasers	Beads
6.25 u + 95	1 u	5 u + 76	5 u
+ 3.75 u + 57	- 1 u	- 3.75 u - 57	+ 1 u
10 u + 152	0	1.25 u + 19	6 u

100%+ 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 76
= ¹²⁵₁₀₀ x 76
= 95 

75% x 5 u
= ⁷⁵₁₀₀ x 5 u
= 3.75 u  

75% x 76 
= ⁷⁵₁₀₀ x 76
= 57 

If another 57 erasers are given to Tim, he will have equal number of erasers and beads in the end.
6 u = 1.25 u + 19 + 57
6 u - 1.25 u = 76
4.75 u = 76

1 u = 76 ÷ 4.75 = 16

Number of erasers that Vanessa has at first
= 6.25 u + 95
= 6.25 x 16 + 95
= 100 + 95
= 195
 
Answer(s): 195