Question

Thomas brought two types of gift cards for his employees. He brought restaurant gift cards where each card costs 50 dollars and movie theatre gift cards where each card costs 20 dollars. He spent 450 dollars to buy 15 gift cards. Find the number of each type of gift cards?

Answer 1

Let r = number of $50 restaurant cards and m = number of $20 movie cards.

Equations:
r + m = 15
50r + 20m = 450

Multiply the first by 20: 20r + 20m = 300. Subtract from the cost equation:
30r = 150 → r = 5. Then m = 15 − 5 = 10.

Answer: 5 restaurant gift cards and 10 movie theatre gift cards.