Cole, Albert and Chester collected marbles in the ratio of 11 : 7 : 7. After Chester gave ³₅ to Cole and Albert, Chester had 178 less marbles than Cole. The number of marbles that Albert had increased by 50%. How many marbles did Cole and Chester have in the end?

	Cole	Albert	Chester
Before	11 u	7 u	7 u
Change	+ 0.7 u	+ 3.5 u	- 4.2 u
After	11.7 u	10.5 u	2.8 u

Number of marbles that Chester gave to Cole and Albert
= ³₅ x 7 u
= 4.2 u

Number of marbles that Albert received from Chester
= ⁵⁰₁₀₀ x 7 u
= 3.5 u

Number of marbles that Cole received from Chester
= 4.2 u - 3.5 u
= 0.7 u

Number of less marbles that Chester had less than Cole
= 11.7 u - 2.8 u 
= 8.9 u

8.9 u = 178

1 u = 178 ÷ 8.9 = 20

Number of marbles that Cole and Chester had
= 11.7 u + 2.8 u
= 14.5 u
= 14.5 x 20
= 290

Answer(s): 290