### Instruction: Carolyn, Julie and Roberta share $\$77$ in a ratio of 4:2:1,  respectively.  How many dollars did Carolyn receive?### Response: To share $\$77$ in a ratio of 4:2:1, I need to divide the money into 4 + 2 + 1 = 7 equal parts.
Each part is worth $\frac{77}{7} = \$11$.
Carolyn gets 4 parts, so she receives 4 times $\$11$, which is $\$44$.