GAUSS8 2013 Problem 20

Christina and Frieda want to buy the same book. Christina has \frac34 of the money needed to buy the book and Frieda has half of the money needed to buy the book. If the book was \$3 cheaper, then together they would have exactly enough money to buy 2 copies of the book. What is the original price of the book?

Answer Choices
A. \$4
B. \$16
C. \$12
D. \$10
E. \$8