Carolyn, Julie and Roberta share $\$77$ in a ratio of 4:2:1,  respectively.  How many dollars did Carolyn receive?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Carolyn, Julie and Roberta share $\$77$ in a ratio of 4:2:1,  respectively.  How many dollars did Carolyn receive?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
44
Carolyn, Julie and Roberta share $\$77$ in a ratio of 4:2:1,  respectively.  How many dollars did Carolyn receive?
train