to raise money the student council at a local middle school is hosting a talent show. the tickets are sold for $3 for students (x) and 7 (y) for adults the goal is to raise $1905. which of the following is a variable solution for the number of student and adult tickets can be sold. A:(656, -9) B: (163, 203.3) C:(278, 153) D:(153, 278)
To solve this problem, we can set up a system of equations based on the information given:
Let x = number of student tickets sold
Let y = number of adult tickets sold
The total amount raised can be represented by the equation:
3x + 7y = 1905
We are looking for a solution where both x and y are positive integers (since we can't have negative number of tickets sold). Looking at the answer choices:
A: (656, -9) - This is not a valid solution as we can't sell -9 adult tickets.
B: (163, 203.3) - This is not a valid solution as the number of tickets sold must be integers.
C: (278, 153) - This is a possible solution as both numbers are positive integers and satisfy the equation. Therefore, C is the correct answer.
D: (153, 278) - This is also a possible solution as both numbers are positive integers and satisfy the equation. This could be an alternative correct answer.