Jacob purchased 3 1/2 pounds of grapes and 3 3/4 pounds of strawberries from a farmer's market. The cost of each pound of grapes is $2.64 and the cost of each pound of strawberries is $3.09. If the store offered a discount of 10% on the final bill, what was the amount Jacob paid to buy the fruits? Ignore sales tax.
Jacob bought 3 + 1/2 = <<3+1/2=3.5>>3.5 pounds of grapes.
Jacob bought 3 + 3/4 = <<3+3/4=3.75>>3.75 pounds of strawberries.
The cost of the grapes was 2.64 * 3.5 = $<<2.64*3.5=9.24>>9.24.
The cost of strawberries was 3.09 * 3.75 = $<<3.09*3.75=11.59>>11.59.
So, Jacob paid 9.24 + 11.59 = $<<9.24+11.59=20.83>>20.83.
Thus, the discount that Jacob obtained is 20.83 x 10/100 = $<<20.83*10/100=2.08>>2.08.
Therefore, Jacob paid 20.83 - 2.08 = $<<20.83-2.08=18.75>>18.75 to buy all the fruits. Answer: \boxed{18.75}.