Sabina's tuition costs $30,000 and she has saved $10,000, so she needs to cover $30,000 - $10,000 = $20,000.
The grant will cover 40% of the remaining tuition, so it will cover 40% * $20,000 = $8,000.
Therefore, Sabina will need to apply for a loan to cover the remaining $20,000 - $8,000 = $12,000.
#### 12000
The answer is: 12000
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Sabina is starting her first year of college that costs $30,000. She has saved $10,000 for her first year. She was awarded a grant that will cover 40% of the remainder of her tuition. How much will Sabina need to apply for to receive a loan that will cover her tuition?

### Answer:
