
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
"郁郁林间桑葚紫,茫茫水面稻苗青" refers to the sweet and juicy fruit - mulberry. In April, Xiao Li from the fruit shop purchased a batch of mulberries for $3000. Over the next two days, he quickly sold 150kg at a price 40% higher than the purchase price. On the third day, he found that the remaining mulberries were not selling well, so he decided to sell the rest at a price 20% lower than the purchase price. In total, Xiao Li made a profit of $750. Let the total amount of mulberries purchased by Xiao Li be $x$ kg.

(1) Complete the table according to the question: (express using algebraic expressions with $x$)

|            | Price (per kg) | Quantity Sold (kg) |
|------------|-----------------|--------------------|
| First two days | ① $\_\_$ | 150 |
| Third day | ② $\_\_$ | ③ $\_\_$ |

(2) Find the value of $x$.

Present the answer in LaTex format: \boxed{Your answer}
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