Question

6) Solve the problem below using Cramer's Rule. Be sure to label what each variable represents, show the equations in the system of equations, and show all matrices and determinants used. No other method will receive credit. Molly attended a coin auction and purchased some rare "Flowing Hair" fifty-cent pieces, and a number of very rare two-cent pieces from the Civil War Era. If she bought 47 coins with a face value of $10.06, how many of each type of coin did she buy? (12 points)

Answer 1

of race lution number Support g 1 of plowing mat Molly bought a number Hair tipley - cent pieces and pieces from Civil Era. two Then , olaco 0.50 nt 10.06 47 0.024 xxy The mature equation Ax=b is 0.50 0.02 11] 10.06 47 0.02 0.48 det A 10.06 Boe Bo Az = [ois 9 47 det Ag = q = pollo 13.44 110.06 Az = 0.02 47 dit A = = 9.12 By Cramer's Rule, 19 24 9-12 ou 0.48 D2 - - x2 13.44 0.48 A y = Hence. Molly bought a piece of Blowing 28 pieces of 2-rent coins from livie era. Hair and

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