To determine how many weeks it will take Miley to save enough money for the boots, we start by calculating how much money she saves each week and how long it will take to reach the total cost of the boots.
The cost of the boots is $150, and Miley saves $25 each week. We can calculate the number of weeks it will take for her to save that amount using the formula:
\[ \text{Number of weeks} = \frac{\text{Total amount needed}}{\text{Amount saved per week}} = \frac{150}{25} = 6 \text{ weeks} \]
Thus, it will take Miley 6 weeks to save enough money to buy the boots.