Answer:
Q * 0.25 + D * 0.10 = $290.05
Q + D = 1234
so
Q = 1234 - D
therefore
(1234 - D) * 0.25 + D * 0.10 = 290.05
308.50 - 0.25D + 0.10D = 290.05
18.45 = 0.15D
D = 123
Q = 1111