Jeremy has 90% as many marbles as John. If Jeremy gives away 25% of the marbles and John gives away 75% of his marbles, they will have 444 marbles altogether. How many marbles do the two of them have?

	Jeremy	John	Total
Comparing Jeremy and John at first	9x4 = 36 u	10x4 = 40 u
Before	4x9 = 36 u	4x10 =  40 u
Change	- 1x9 = - 9 u	- 3x10 = - 30 u
After	3x9 = 27 u	1x10 = 10 u	444

90% = ⁹⁰₁₀₀ = ⁹₁₀

25% = ²⁵₁₀₀ = ¹₄ 

75% =⁷⁵₁₀₀ = ³₄ 

The number of marbles that Jeremy has at first is repeated.  Make the number of marbles that Jeremy has the same.  LCM of 9 and 4 is 36 u.

The number of marbles that John has at first is repeated. Make the number of marbles that John has the same. LCM of 10 and 4 is 40 u.

Number of marbles in the end
= 27 u + 10 u
= 37 u

37 u = 444

1 u = 444 ÷ 37 = 12

Total number of marbles that the two of them have
= 36 u + 40 u
= 76 u
= 76 x 12
= 912

Answer(s): 912