Braelynn bought 1/3*24 = <<1/3*24=8>>8 more knives to add to her kitchen.
The total number of knives in her kitchen is now 24+8 = <<24+8=32>>32 knives
In her kitchen, Braelynn currently has 2*24 = <<2*24=48>>48 teaspoons.
When she buys 2/3 times more teaspoons, the total number increases by 2/3*48 = <<2/3*48=32>>32.
So she will have a total of 32+48 = <<32+48=80>>80 teaspoons.
The total number of cutlery pieces Braelynn will have in her kitchen is 80+32 = <<80+32=112>>112
#### 112