A radio station advertises that they are giving away $500 in prizes. There are 15 prizes being given away, and there are only two prize choices. There are some $50 gift cards and some band merch worth $25. They do not tell you how many of each prize is being given away. Write an equation that can be used to find the number of gift cards. Let represent the number of gift cards.

The equation is, where g represents the number of gift cards: 50g + (15-g) 25 = 500. The number of gift card is 5.

Step-by-step explanation:

Let g represent the number of gift cards. Since there are 15 prizes, the number of band merch will be 15-g.

It is given that gift cards have a value of $50 and bend merch has a value of $25.

The total value of the gift cards will be = g x 50 (1)

The total value of the band merch will be = (15-g) x 25 (2)

The sum of the equation 1 and 2 will be equal to the total value of the prizes, $500.

→ 50 x g + (15-g) x 25 = 500

→ 50g + 375 - 25g = 500

→ 25g = 125

→ g = 5