A store sells gift cards in preset amounts. You can purchase gift cards for ​$10 or ​$15. You have spent ​$280 on gift cards. Write an equation in standard form to represent this situation. What are three combinations of gift cards you could have​ purchased?

Let x be the number of gift cards for ​$10​, and let y be the number of gift cards for ​$15. Write an equation in standard form to represent this situation.

The equation to represent this situation is 10x + 15y = 280.

Three combinations of gift cards that could have been purchased are:
1) x = 8, y = 12 (8 gift cards at $10 and 12 gift cards at $15)
2) x = 4, y = 16 (4 gift cards at $10 and 16 gift cards at $15)
3) x = 0, y = 18 (0 gift cards at $10 and 18 gift cards at $15)