Question

The attendance at the school concert was 578. Admission was $2.00 for adults and $1.50 for students. The receipts were $985.00. How man adults and how man students attended the concert?

Answer 1

2x + 1.5 y = 985
y = students
x = adults
x + y = 578
*-2      * -2
-2x - 2y = -1156

2x + 1.5y = 958
-2x - 2y = -1156 (add these together)

-0.5 y = -198
*-2      *-2
y = 396
x + 396 = 578
x = 182
396 students
182 adults