algebra equation

Question

students cost $4.00. non students cost $7.00. Revenue is $2463 and 486 attended. how many students and how many non students are there ?

Answer 1

Let's call students S and non-students N.

S + N = 486 (The number of students + the number of non-students = 486 people)

4S + 7N = 2463 (4 times the number of students + 7 times the number of non-students = $2463).

Since you can only solve an equation with one variable, we're going to change the first equation by subtracting N from both sides. S = 486 - N

Now we can plug 486 - N into the second equation instead of using S.

4(486 + N) + 7N = 2463.

Distribute the 4. 1944 + 4N + 7N = 2463

Put the N's together. 1944 + 11N = 2463

Subtract 1944 from both sides. 11N = 519 N = 47.18

Okay, that's a problem, because you can't have 18/100 of a person. It should have come out to a whole number. Are you sure you wrote the problem down correctly?