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Mary, Kate and Amy have a total of $159. Mary has $11 more than Kate. Amy has twice as much money as Kate. a)Using a bar model, illustrate this scenario showing CLEARLY where the $11 and $159 go. b)Determine how much money each girl has.

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Kate has $37, Mary has $48, and Amy has $74.

Equations

Given that Mary, Kate and Amy have a total of $159, and Mary has $11 more than Kate, while Amy has twice as much money as Kate, to determine how much money each girl has, the following calculation must be performed:

  • M = K + 11
  • A = 2K
  • K = K
  • K + 11 + 2K + K = 159
  • 4K = 159 - 11
  • K = 148 / 4
  • K = 37

So Kate has $37, Mary has $48, and Amy has $74.

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