They made $10 because 2 x 5 = <<2*5=10>>10

They made $1 off single pieces because 100 x .01 = <<100*.01=1>>1

They made $.9 off double pieces because 45 x .02 = <<45*.02=.9>>.9

They made $1.5 off triple pieces because 50 x .03 = <<50*.03=1.5>>1.5

They earned $3.4 off the first three types because 1 + .9 + 1.5 = <<1+.9+1.5=3.4>>3.4

They earned $6.6 off the quadruple pieces because 10 - 3.4 = <<10-3.4=6.6>>6.6

They sold 165 quadruple pieces because 6.6 / .04 = <<6.6/.04=165>>165

# Answer

165
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
165
Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell?
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