Valen had 160 cards. ³₄ were pink and the rest were silver and yellow. The ratio of the number of silver cards to the number of yellow cards was 1 : 4. Valen decided to give away some pink cards to decrease the number of pink cards to half of the total number of cards.

1. How many more pink cards than silver cards did he have at first?
2. How many pink cards did he have to give away?

Pink cards	Silver cards	Yellow cards	Total
3x5	1x5
	1x1	4x1
15 u	1 u	4 u	160

	Pink cards	Silver cards	Yellow cards
Before	15 u	1 u	4 u
Change	- ?
After	5 u	5 u
Comparing pink, silver and yellow cards in the end	1	1

(a)
The total number of silver cards and yellow cards is repeated. Make the total number of silver cards and yellow cards the same.  LCM of 1 and 5 is 5.

Total number of cards at first
= 15 u + 1 u + 4 u
= 20 u

20 u = 160

1 u = 160 ÷ 20 = 8

Number of more pink cards than silver cards at first
= 15 u - 1 u
= 14 u
= 14 x 8
= 112

(b)
Number of more pink cards that Valen had to give away
= 15 u - 5 u
= 10 u
= 10 x 8
= 80

Answer(s): (a) 112; (b) 80