First find the length of the waist: 300 cm / 3 = <<300/3=100>>100 cm

Then find the total amount of lace she uses on the cuffs: 2 cuffs * 50 cm/cuff = <<2*50=100>>100 cm

Then find the total amount of lace she uses on the ruffles: 5 ruffles * 20 cm/ruffle = <<5*20=100>>100 cm

Then add each amount of lace she uses to find the total: 100 cm + 100 cm + 100 cm + 300 cm = <<100+100+100+300=600>>600 cm

Then convert that length to meters to by dividing by 100: 600 cm / 100 cm/m = <<600/100=6>>6 m

Finally, multiply the total meters of lace needed by the cost per meter to find the total cost: 6 m * $6/m = $<<6*6=36>>36

# Answer

36
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Carolyn is trimming a dress with lace around the cuffs, waist, hem, and neckline. Each cuff is 50 cm long, the hem is 300 cm long, the waist is a third of the length of the hem, and the neck will have 5 ruffles that each use 20 cm of lace. If lace costs $6/m, how much does Carolyn spend on lace?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
36
Carolyn is trimming a dress with lace around the cuffs, waist, hem, and neckline. Each cuff is 50 cm long, the hem is 300 cm long, the waist is a third of the length of the hem, and the neck will have 5 ruffles that each use 20 cm of lace. If lace costs $6/m, how much does Carolyn spend on lace?
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