GAUSS8 2006 Problem 21

Nathalie has some quarters, dimes and nickels. The ratio of the number of quarters to the number of dimes to the number of nickels that she has is 9:3:1. The total value of these coins is \$18.20. How many coins does Nathalie have?

Answer Choices
A. 130
B. 117
C. 98
D. 91
E. 140