Question

8. Harry has 3 bamboo poles of different lengths. The total combined length of the three poles when placed end-to-end is 47 inches long. Pole B is 12 times as long as Pole A and Pole C is 2 inches longer than pole A. a. Write a linear equation for the total combined length of the 3 poles. I b. Find the length of Pole C.​

Answer 1

5 3/14 inches

Explanation:

If A represents the length of pole A, then B=12A, and C=A+2. The total length is ...

A +(12A) +(A+2) = 47 . . . . equation for combined length

14A = 45 . . . . . . . . . . . collect terms, subtract 2

A = 45/14 . . . . . . . . . divide by the coefficient of A

C = A +2 = 45/14 +2 = 73/14 = 5 3/14

Pole C is 5 3/14 inches long.