There were 193 pink, yellow and brown markers in a box. 25 brown markers were removed from the box and the ratio of the number of pink markers to the number of yellow markers to the number of brown markers became 4 : 3 : 7. Then some red markers were added and the ratio of the number of brown markers to the number of red markers was 7 : 7.

1. What was the ratio of the number of pink markers to the number of yellow markers to the number of brown markers at first?
2. How many markers were in the box in the end?

	Pink	Yellow	Brown	Red	Total
Before	4 u	3 u	7 u + 25	0	193
Change 1	No change	No change	- 25		- 25
After 1	4 u	3 u	7 u		168
Change 2	No change	No change	No change	+ 7 u
After 2	4 u	3 u	7 u	7 u

(a)
Total number of markers at first
= 4 u + 3 u + 7 u + 25
= 14 u + 25

14 u + 25 = 193
14 u = 193 - 25
14 u = 168

1 u = 168 ÷ 14 = 12

Number of pink markers at first
= 4 u
= 4 x 12
= 48

Number of yellow markers at first
= 3 u
= 3 x 12
= 36

Number of brown markers at first
= 7 u + 25
= 7 x 12 + 25
= 109 

At first
Pink markers : Yellow markers : Brown markers
48 : 36 : 109

(b)
Total number of markers in the box in the end
= 4 u + 3 u + 7 u + 7 u
= 21 u
= 252

Answer(s): (a) 48 : 36 : 109; (b) 252