7. (10 points) The school organizes 1511 people to go on an outing, renting 42-seat buses and 25-seat minibuses. If it is required that each person has exactly one seat and each seat is occupied by one person, then there are $\qquad$ rental options.

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7. (10 points) The school organizes 1511 people to go on an outing, renting 42-seat buses and 25-seat minibuses. If it is required that each person has exactly one seat and each seat is occupied by one person, then there are $\qquad$ rental options.
7. (10 points) The school organizes 1511 people to go on an outing, renting 42-seat buses and 25-seat minibuses. If it is required that each person has exactly one seat and each seat is occupied by one person, then there are $\qquad$ rental schemes.

【Analysis】All seats are fully occupied. Let the number of buses be $x$ and the number of minibuses be $y$, we get the indeterminate equation $42 x+25 y=1511$, then discuss the values of $x$ and $y$.
【Solution】Solution: Let the number of buses be $x$ and the number of minibuses be $y$, we get the indeterminate equation:
$42 x+25 y=1511$
So $x=\frac{1511-25 y}{42}$
Since 42 is even and 1511 is odd, $1511-25 y$ must be even;
So $y$ must be odd;
And $1511 \div 25=6 \cdots 11$
So $42 x$ divided by 25 must also have a remainder of 11, so the unit digit of the product of 42 and $x$ is 6, so when $x=8$, and $y=47$ or $x=8+25=33$, and $y=5$ meet the conditions.
So the first rental scheme is to rent 33 buses and 5 minibuses;
The second rental scheme is to rent 8 buses and 47 minibuses;
Therefore, there are 2 rental schemes.
Answer: There are 2 rental schemes.
So the answer is: 2.