How many adult tickets were sold?

Question

Two hundred tickets were sold for high school concert for total income of $475. Student tickets were sold for $2 each and adults tickets for $3 each.

Answer 1

let s = students and a = adult. Here's what we know:

a + s = 200 (200 adult and student tickets were sold)

3a + 2s = 475 (the proceeds of the tickets was $475)

 

Let's use elimination to solve this. Multiply the first equation by -2:

-2a - 2s = -400

3a + 2s = 475

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a = 75