Charley pulled out 90/6 = <<90/6=15>>15 black beads.

Charley pulled out 51/3 = <<51/3=17>>17 white beads.

Charley pulled out 15+17 = <<15+17=32>>32 beads in total.

# Answer

32
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Charley has a bag that contains 51 white beads and 90 black beads. He reaches in the bag and pulls out 1/6 of the black beads and a third of the white beads. How many beads in total did Charley pull out?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
32
Charley has a bag that contains 51 white beads and 90 black beads. He reaches in the bag and pulls out 1/6 of the black beads and a third of the white beads. How many beads in total did Charley pull out?
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