Question

Write a system of equations that could be used to solve the problem below.

The student council holds a fundraiser dinner at school, charging $6.00 for each adult and $3.50 for each student. A total of 210
people attended the dinner, bringing in a total of $935. How many students attended the dinner? Let represent the number of
adult tickets and y represent the number of student tickets.
A.
x+y= 935
*+y=935
6x +3.5y = 210
6x
B.
B.
x+y= 210
_35y = 935
25y = 939
C. x+y= 210
35x+6y = 935
D. not enough information
Please select the best answer from the choices provided
B is the answer or x+y=210
6x+3.5y=935

Answer 1

C

x + y = 210

3.5x + 6y = 935

Explanation:

y = No. of students

x = No. of teachers

Total No. of people who attended the dinner = x + y = 210 ----------(eq. 1)

Amount of tickets collected from all students = 6y

Amount of tickets collected from all teachers = 3.5x

Total amount collected from students= 3.5x + 6y = 935 ------- (eq. 2)

Therefore:

x + y = 210

3.5x + 6y = 935