Gabriel, Neave and Chester collected pens in the ratio of 10 : 7 : 5. After Chester gave ³₁₀ to Gabriel and Neave, Chester had 146 less pens than Gabriel. The number of pens that Neave had increased by 10%. How many pens did Gabriel and Chester have in the end?

	Gabriel	Neave	Chester
Before	10 u	7 u	5 u
Change	+ 0.8 u	+ 0.7 u	- 1.5 u
After	10.8 u	7.7 u	3.5 u

Number of pens that Chester gave to Gabriel and Neave
= ³₁₀ x 5 u
= 1.5 u

Number of pens that Neave received from Chester
= ¹⁰₁₀₀ x 7 u
= 0.7 u

Number of pens that Gabriel received from Chester
= 1.5 u - 0.7 u
= 0.8 u

Number of less pens that Chester had less than Gabriel
= 10.8 u - 3.5 u 
= 7.3 u

7.3 u = 146

1 u = 146 ÷ 7.3 = 20

Number of pens that Gabriel and Chester had
= 10.8 u + 3.5 u
= 14.3 u
= 14.3 x 20
= 286

Answer(s): 286