Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-A 10-ft. board is cut into 2 pieces so that one piece is 2 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: 2 ft.; longer piece: 8 ft.
B) shorter piece: 5 ft; longer piece: 30 ft.
C) shorter piece: 6 ft; longer piece: 32 ft.
D) shorter piece: 28 ft; longer piece: 30 ft.

Question

Quizplus · Accepted Answer

The equation based on the given conditions is $x + 3x + 2 = 10$. Solving this equation, we find $x = 2$, which means the shorter piece is 2 ft long, and the longer piece is $3(2) + 2 = 8$ ft long.

Let X Represent the Number