Solve.
-A 9-ft. board is cut into 2 pieces so that one piece is 5 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.
A) shorter piece: 1 ft .; longer piece: 8 ft
B) shorter piece: 22 ft ; longer piece: 27 ft .
C) shorter piece: 4.5 ft ; longer piece: 27 ft .
D) shorter piece: 15 ft ; longer piece: 32 ft .

Question

Solve.
-A 9-ft. board is cut into 2 pieces so that one piece is 5 feet longer than 3 times the shorter piece. If the shorter piece is  x  feet long, find the lengths of both pieces.
A) shorter piece:  1 ft .; longer piece:  8 ft
B) shorter piece:  22 ft ; longer piece:  27 ft .
C) shorter piece:  4.5 ft ; longer piece:  27 ft .
D) shorter piece:  15 ft ; longer piece:  32 ft .

Quizplus · Accepted Answer

The equation representing the situation is x + 3x + 5 = 9. Solving for x gives x = 1 ft for the shorter piece, and substituting x into 3x + 5 gives 8 ft for the longer piece.

Solve. -A 9-Ft. Board Is Cut into 2 Pieces So That