Wesley has 70% as many buttons as Rael. If Wesley gives away 50% of the buttons and Rael gives away 30% of his buttons, they will have 168 buttons altogether. How many buttons do the two of them have?

	Wesley	Rael	Total
Comparing Wesley and Rael at first	7x2 = 14 u	10x2 = 20 u
Before	2x7 = 14 u	10x2 =  20 u
Change	- 1x7 = - 7 u	- 3x2 = - 6 u
After	1x7 = 7 u	7x2 = 14 u	168

70% = ⁷⁰₁₀₀ = ⁷₁₀

50% = ⁵⁰₁₀₀ = ¹₂ 

30% =³⁰₁₀₀ = ³₁₀ 

The number of buttons that Wesley has at first is repeated.  Make the number of buttons that Wesley has the same.  LCM of 7 and 2 is 14 u.

The number of buttons that Rael has at first is repeated. Make the number of buttons that Rael has the same. LCM of 10 and 10 is 20 u.

Number of buttons in the end
= 7 u + 14 u
= 21 u

21 u = 168

1 u = 168 ÷ 21 = 8

Total number of buttons that the two of them have
= 14 u + 20 u
= 34 u
= 34 x 8
= 272

Answer(s): 272