Pamela and Daniel collect beads and coins. Daniel has 50 less beads than coins. Daniel has 5 times the number of beads Pamela has, and Pamela has 30% more coins than Daniel. After Pamela gives Daniel all of her beads and Daniel gives Pamela 60% of his coins, Daniel has 12 less coins than beads. Find the number of coins Pamela has at first.

Pamela		Daniel
Coins	Beads	Coins	Beads
6.5 u + 65	1 u	5 u + 50	5 u
+ 3 u + 30	- 1 u	- 3 u - 30	+ 1 u
9.5 u + 95	0	2 u + 20	6 u

100%+ 30% = 130% 

130% x 5 u
= ¹³⁰₁₀₀ x 5 u
= 6.5 u

130% x 50
= ¹³⁰₁₀₀ x 50
= 65 

60% x 5 u
= ⁶⁰₁₀₀ x 5 u
= 3 u  

60% x 50 
= ⁶⁰₁₀₀ x 50
= 30 

If another 12 coins are given to Daniel, he will have equal number of coins and beads in the end.
6 u = 2 u + 20 + 12
6 u - 2 u = 32
4 u = 32

1 u = 32 ÷ 4 = 8

Number of coins that Pamela has at first
= 6.5 u + 65
= 6.5 x 8 + 65
= 52 + 65
= 117
 
Answer(s): 117