A and B went to a market. A bought a suit and a hat for $15. B bought a hat which costs is equal to that of A's suit.and with the remaining of their sum B bought a dress. B told A that A's hat is equal to B's dress plus one.Finally B said that her hat is 1 and 1/2 times that of A's hat. Find the cost of A's hat.

• a's hat= h1
  a's suit=s
  h1+s = 15 -eqatn 1
  b's hat=h2
  b's dress=d
  h2=s eqatn2
  from eqatn 1 &2
  h1+h2 = 15 eqatn 3
  h1=d+1
  h2=(3/2)*h1 eqatn 4
  
  from 3 &4
  h1= 6
  h2= 9
  
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