Rachel spent 1/4*200 = $<<200*1/4=50>>50 on lunch.

Rachel spent 1/2*200 = $<<200*1/2=100>>100 on a DVD.

Rachel has 200-50-100 = $<<200-50-100=50>>50 left.

# Answer

50
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Rachel earned $200 babysitting. She spent 1/4 of the money on lunch. She spent 1/2 of the money on a DVD. How much did Rachel have left?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
50
Rachel earned $200 babysitting. She spent 1/4 of the money on lunch. She spent 1/2 of the money on a DVD. How much did Rachel have left?
train