Peter, Xavier and Charles collected beads in the ratio of 12 : 9 : 10. After Charles gave ³₅ to Peter and Xavier, Charles had 430 less beads than Peter. The number of beads that Xavier had increased by 60%. How many beads did Peter and Charles have in the end?

	Peter	Xavier	Charles
Before	12 u	9 u	10 u
Change	+ 0.6 u	+ 5.4 u	- 6 u
After	12.6 u	14.4 u	4 u

Number of beads that Charles gave to Peter and Xavier
= ³₅ x 10 u
= 6 u

Number of beads that Xavier received from Charles
= ⁶⁰₁₀₀ x 9 u
= 5.4 u

Number of beads that Peter received from Charles
= 6 u - 5.4 u
= 0.6 u

Number of less beads that Charles had less than Peter
= 12.6 u - 4 u 
= 8.6 u

8.6 u = 430

1 u = 430 ÷ 8.6 = 50

Number of beads that Peter and Charles had
= 12.6 u + 4 u
= 16.6 u
= 16.6 x 50
= 830

Answer(s): 830