Question

Juan needed 2 cables of different lengths for his home

audio speakers. He purchased a total of 39 feet of
cable. The longer piece of cable is 9 feet longer than
the shorter piece. What is the length, in feet, of the
longer piece of cable?
F.:.6
G. 13
H. 15
J. 24
K. 26

Answer 1

24 feets

Explanation:

let the shorter cable be x feets

so the longer cable will be 9 plus the shorter cable which is (9 + x) feets

• Total length = Longer cable + shorter cable
• 39 = (9 + x) + x

• 39 = 9 + 2x
• 2x = 39 - 9
• 2x = 30

`x \: = \: (30)/(2) \\ x = 15feets`

• But the longer cable is (9 + x)
• So longer cable = 9 + 15

1. Longer cabl = 24 feets

Answer 2

the length of the longer piece of cable is 24 ft

Explanation:

shor piece = s

Long piesce = s+9

s + s+9= 39

2s = 30

s = 15

short = 15

15 +9 = 24

long = 24

15+24 = 39