how amny inches of a candy bar that is 45% dark chocolate must be melted and mixed with 18 inches of candy bar is 20% dark chocolate to obtain a candy bar thta is 30% dark chocolate

Question

how many inches of a candy bar that is 45% dark chocolate must be melted and mixed with 18 inches of candy bar is 20% dark chocolate to obtain a candy bar that is 30% dark chocolate

Answer 1

.45x + .2(18) = .3(x+18)

.45x - .3x = 5.4- 3.6

.15x = 1.8

x = 1.8/.15 = 180/15 = 12 inches of 45% added to 18 inches of 20% to get 30 inches of 30%

45-30 = 15

30-20 = 10

15/10 = 1.5 times as much 20% as 45%

18/12 = 1.5