meredith48034
meredith48034 meredith48034
  • 26-02-2021
  • Mathematics
contestada

170 foot cable is to be cut into four pieces. Find the length of each piece is 3 feet longer than the previous one.​

Respuesta :

jimrgrant1 jimrgrant1
  • 26-02-2021

Answer:

38 ft, 41 ft, 44 ft, 47 ft

Step-by-step explanation:

let the first piece be x, then

second piece = x + 3

third piece = x + 3 + 3 = x + 6

fourth piece = x + 6 + 3 = x + 9

sum the 4 together and equate to 170

x + x + 3 + x + 6 + x + 9 = 170, that is

4x + 18 = 170 ( subtract 18 from both sides )

4x = 152 ( divide both sides by 4 )

x = 38

Thus

first piece = x = 38 ft

second piece = x + 3 = 38 + 3 = 41 ft

third piece = x + 6 = 38 + 6 = 44 ft

fourth piece = x + 9 = 38 + 9 = 47 ft

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