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sam was building a suspension bridge for the playground at an elementary school and needed some chain link and rope.He bought a total of 80 feet of materials. The chain link cost $2.00 per foot, and the rope cost $1.50 per foot. He spent a total of $135. How much of each did he buy?

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sqdancefan

Answer:

  • 30 ft chain link
  • 50 ft rope

Step-by-step explanation:

Let c and r represent the quantities of chain link and rope that Sam purchases, respectively.

  c + r = 80 . . . . . total of lengths purchased

  2c +1.5r = 135 . . . . cost of amount purchased

Subtracting the second equation from twice the first gives ...

  2(c +r) -(2c +1.5r) = 2(80) -(135)

  0.5r = 25

  r = 50

  c = 30

Sam bought 30 feet of chain link and 50 feet of rope.

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