The school has only enough money to pay for half the estimated cost of $1074000. The school board plans to raise the remaining funds by selling parking stickers for $100 to
students and $200 to faculty. How many student stickers and how many faculty stickers must the school sell? Is here only one possible answer? Explain.
Let's denote the number of student stickers as x and the number of faculty stickers as y.
The total amount raised from selling student stickers would be 100x, and the total amount raised from selling faculty stickers would be 200y.
From the given information, we know that the total amount raised must be equal to half of the estimated cost, which is $1074000. Therefore, we can write the following equation:
100x + 200y = 537000
Solving for y in terms of x, we get:
y = (537000 - 100x)/200
Since both x and y must be whole numbers representing the number of stickers sold, there is not only one possible solution since there are multiple combinations of x and y that can satisfy the equation. The school can sell different combinations of student and faculty stickers to raise the remaining funds needed.