Answer:
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)
