Caden has 30% as many marbles as Riordan. If Caden gives away 20% of the marbles and Riordan gives away 50% of his marbles, they will have 148 marbles altogether. How many marbles do the two of them have?

	Caden	Riordan	Total
Comparing Caden and Riordan at first	3x5 = 15 u	10x5 = 50 u
Before	5x3 = 15 u	2x25 =  50 u
Change	- 1x3 = - 3 u	- 1x25 = - 25 u
After	4x3 = 12 u	1x25 = 25 u	148

30% = ³⁰₁₀₀ = ³₁₀

20% = ²⁰₁₀₀ = ¹₅ 

50% =⁵⁰₁₀₀ = ¹₂ 

The number of marbles that Caden has at first is repeated.  Make the number of marbles that Caden has the same.  LCM of 3 and 5 is 15 u.

The number of marbles that Riordan has at first is repeated. Make the number of marbles that Riordan has the same. LCM of 10 and 2 is 50 u.

Number of marbles in the end
= 12 u + 25 u
= 37 u

37 u = 148

1 u = 148 ÷ 37 = 4

Total number of marbles that the two of them have
= 15 u + 50 u
= 65 u
= 65 x 4
= 260

Answer(s): 260