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a truck holds boards that are 9 pounds each and boards that are 15 pounds each. There are 24 more of the lighter boards than the heavier boards. The total weight of the boards is 408 pounds. Model this problem using an equation and solve to find how many of each type of board is on the truck

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adioabiola

The number of lighter boards and heavier boards in the truck is 216 and 192 boards respectively.

Equation

  • Light board = 9 pounds
  • Heavy board = 15 pounds
  • Total weight = 408 pounds

let

Light board = x

Heavy board = y

x = y + 24

x + y = 408

(y + 24) + y = 408

y + 24 + y = 408

2y = 408 - 24

2y = 384

y = 384 / 2

y = 192 boards

So,

x = y + 24

= 192 + 24

x = 216 boards

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