A store sells gift cards in preset amounts. You can purchase gift cards for $10 or $25. You have spent $285 on gift cards. Erie an equation in standard form to represent a his situation. What are three combinations of gift cards you could have purchased?

10x + 25y = 285

One $25 gift cards with 26, $10 gift cards.

Three $25 gift cards with 21, $10 gift cards and

Five $25 gift cards with 16, $10 gift cards.

Step-by-step explanation:

I can purchase gift cards for $10 or $25. I have spent $285 on gift cards.

If I have purchased x number of $10 gift cards and y number of $25 gift cards then the equation that models the situation in standard form will be given by

10x + 25y = 285 ... (1)

Now, for y = 1, x = 26

For, y = 3, x = 21

For, y = 5, x = 16

So, here are the three combinations of gift cards that I could have purchased.

One $25 gift card with 26, $10 gift cards.

Three $25 gift cards with 21, $10 gift cards and

Five $25 gift cards with 16, $10 gift cards. (Answer)