Howard, Harry and Calvin collected cards in the ratio of 8 : 7 : 6. After Calvin gave ³₅ to Howard and Harry, Calvin had 156 less cards than Howard. The number of cards that Harry had increased by 20%. How many cards did Howard and Calvin have in the end?

	Howard	Harry	Calvin
Before	8 u	7 u	6 u
Change	+ 2.2 u	+ 1.4 u	- 3.6 u
After	10.2 u	8.4 u	2.4 u

Number of cards that Calvin gave to Howard and Harry
= ³₅ x 6 u
= 3.6 u

Number of cards that Harry received from Calvin
= ²⁰₁₀₀ x 7 u
= 1.4 u

Number of cards that Howard received from Calvin
= 3.6 u - 1.4 u
= 2.2 u

Number of less cards that Calvin had less than Howard
= 10.2 u - 2.4 u 
= 7.8 u

7.8 u = 156

1 u = 156 ÷ 7.8 = 20

Number of cards that Howard and Calvin had
= 10.2 u + 2.4 u
= 12.6 u
= 12.6 x 20
= 252

Answer(s): 252