Luke Skywalker mixes bantha milk that is 16% protein with tauntaun milk that is 9% protein. How many pounds of each should he mix to get a 350-pound mixture that is 12% protein?

b = amount of bantha milk

t = amount of tauntaun milk

b + t = 350

0.16 b + 0.09 t = 0.12(b + t) = 42

t = 350 - b

0.16 b + 0.09 (350 - b) = 42

0.16 b + 31.5 - 0.09 b = 42

0.07 b = 10.5

b = 150

t = 200

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47