16. (15 points) A store is offering a new smartphone on an installment plan with two options to choose from.
Option 1: Pay 800 yuan in the first month, and 200 yuan every month thereafter.
Option 2: Pay 350 yuan per month for the first half of the payment period, and 150 yuan per month for the second half.
The total payment amount and the time period are the same for both options. Find the price of the smartphone.
【Analysis】Obviously, the price of the phone is the same in both plans. Let's set the total payment time as $x$, list the equations respectively, solve them, and then find the price of the phone.

【Solution】Solution: According to the analysis, let the time be $x$ months, then the cost of the phone in Plan One is: $800+(x-1) \times$ $200=200 x+600$ (yuan); 

The cost of the phone in Plan Two is: $350 \times \frac{1}{2} x+150 \times \frac{1}{2} x=250 x$ (yuan). Since the price of the phone is the same in both plans, we have:
$200 x+600=250 x$, solving for $x$ gives: $x=12$, so the total payment amount is: $250 \times 12=3000$ yuan.
Therefore, the answer is: 3000.