Question

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.

Answer 1

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

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