The school band wishes to raise a minimum of 800 dollars by selling tickets to their holiday concert. They make 3 dollars from each student ticket and 5 dollars from each adult ticket. Let x represent the number of student tickets, and let y represent the number of adult tickets. Which linear inequality can be used to find the combinations of adult and student tickets that they can sell to meet their goal?
Answer
A
3 x plus 5 y is greater than or equal to 800
B
3 x plus 5 y is less than or equal to 800
C
3 y plus 5 y is greater than or equal to 800
D
3 y plus 5 x is less than or equal to 800
Explanation
Student tickets bring in 3 dollars each, so x student tickets earn 3x dollars. Adult tickets bring in 5 dollars each, so y adult tickets earn 5y dollars. To meet a minimum goal of 800 dollars, their combined earnings must be at least 800: 3x + 5y ≥ 800. This matches choice A, “3x plus 5y is greater than or equal to 800.”
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