A store sells gift cards in preset amounts. You can purchase gift cards for $20 or $30. You have spent $380 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 $20 gift cards purchased.
Let y be the number of $30 gift cards purchased.
Since the cost of each $20 gift card is $20, the total cost of the $20 gift cards is 20x.
Similarly, the total cost of the $30 gift cards is 30y.
The total amount spent on gift cards is $380, so the equation is:
20x + 30y = 380
Three possible combinations of gift cards you could have purchased are:
1) If x = 6 and y = 10, you could have purchased 6 $20 gift cards and 10 $30 gift cards.
2) If x = 2 and y = 12, you could have purchased 2 $20 gift cards and 12 $30 gift cards.
3) If x = 5 and y = 9, you could have purchased 5 $20 gift cards and 9 $30 gift cards.