Solve the Problem Using Matrices $91 \mathrm {~cm}$ the Sum of the Two Longer Pieces Is

Multiple Choice

Solve the problem using matrices.
-Jerry has three pieces of string. The total length is $91 \mathrm {~cm}$ . The sum of the two longer pieces is $76 \mathrm {~cm}$ . The middle piece is twice as long as the shortest piece. What are the lengths of the three pieces?

A) No solution
B) $15 \mathrm {~cm} ; 30 \mathrm {~cm} ; 46 \mathrm {~cm}$
C) $7.5 \mathrm {~cm} ; 15 \mathrm {~cm} ; 68.5 \mathrm {~cm}$
D) $15 \mathrm {~cm} ; 46 \mathrm {~cm} ; 56 \mathrm {~cm}$