Solve the problem using matrices.
-Jerry has three pieces of string. The total length is 107 cm. The sum of the two longer pieces is 89 cm. The middle piece is twice as long as the shortest piece. What are the lengths of the three pieces?
A) No solution
B) 18 cm; 36 cm; 53 cm
C) 9 cm; 18 cm; 80 cm
D) 18 cm; 53 cm; 63 cm

Question

Quizplus · Accepted Answer

Let the lengths of the strings be x, y, and z, with x < y < z. The system of equations is: x + y + z = 107 (total length), y + z = 89 (sum of the two longer pieces), and y = 2x (middle piece is twice as long as the shortest). Solving these equations, we find x = 18 cm, y = 36 cm, and z = 53 cm.

Solve the Problem Using Matrices