Question

kali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. she then removes of the green bricks and adds more blue bricks, reducing the size of the tower by 14 bricks. how many red bricks will she need to add in order to double the total number of bricks used to build the original tower?

Answer 1

R : G : B
4 : 3 : 1 

G = 3B
(1/3)B - (1/2)G = -14
(1/3)B - (1/2)3B = -14
B = 12

R : G : B
48 : 36 : 12 = 96

96 - (1/2)G + (1/3)B = 
96 - 18 + 4 = 82

96 x 2 = 192 - 82 = 110