Question

Need help with this math​

Answer 1

Answer:

# of students = 393, # of non-students = 104

Step-by-step explanation:

We have a system of equations (# of students = s, # of non-students = n):

1. Total people attended: s + n = 497

2. Total earnings: 2.5s + 4.5n = 1450.5

We can change the first equation to n = 497 - s, and substitute that into the other equation: 2.5s + 4.5(497 - s) = 1450.5

Expand: 2.5s + 2236.5 - 4.5s = 1450.5

Subtract: 2.5s - 4.5s = 1450.5 - 2236.5

Simplify: -2s = -786

Divide: s = 393

Plug into first equation: 393 + n = 497

Subtract: n = 104