Solve the problem by writing and solving a suitable system of equations.
-Suppose that you are to cut a piece of ribbon for a wreath that is 161 inches long into two pieces so that one piece is 6 times as long as the other. How long is each piece of ribbon?
A) 23 and 161 inches
B) 27 and 161 inches
C) 27 and 115 inches
D) 23 and 138 inches

Question

Quizplus · Accepted Answer

Let x be the length of the shorter piece. Then the longer piece is 6x. The equation is x + 6x = 161. Solving gives x = 23, so the pieces are 23 and 138 inches.

Solve the Problem by Writing and Solving a Suitable System