Answer:
[tex]\left\{\begin{matrix}x + y = 300\qquad\qquad [1]\\ 9y + 4x = 1,670\qquad\qquad [2]\end{matrix}\right.[/tex]
Step-by-step explanation:
System of Equations
Let's call:
x=Number of student tickets
y=Number of adult tickets
Conditions:
A total of 300 people bought tickets. The equation to model this condition is:
[tex]x + y = 300\qquad\qquad [1][/tex]
Each adult ticket costs $9. If y adults paid for the concert, then 9y dollars of the total come from adults.
Each student ticket costs $4. If x students paid for the concert, then 4x dollars of the total come from students.
The total raised by The Lehman band was $1,670, thus:
[tex]9y + 4x = 1,670\qquad\qquad [2][/tex]
The system of equations is:
[tex]\left\{\begin{matrix}x + y = 300\qquad\qquad [1]\\ 9y + 4x = 1,670\qquad\qquad [2]\end{matrix}\right.[/tex]
