Question

A store sells gitt cards in preset amounts. You can purchase gitt cards for $10 or $15. You have spent $190 on gift cards. Write an equation in standard form to represent this situation. What are three combinations of gift cards you could have purchased? A. 0 gitt cards for $10 and 12 gitt cards for $15;4 gitt cards for $10 and 10 gift cards for $15;16 gift cards for $15 and 2 gitt cards for $10 B. 12 gift cards for $10 and 1 gift card for $15;4 gift cards for $10 and 10 gitt cards for $15;16 git cards for $10 and 2 gift cards for $15 C. 12 gitt cards for $10 and 0 gitt cards for $15;4 gitt cards for $15 and 10 gitt cards for $10; 16 gift cards for $15 and 2 gift cards for $10 D. 1 gitt card for $10 and 12 gitt cards for $15;4 gitt cards for $10 and 10 gitt cards for $15;16 gitt cards for $10 and 2 gift cards for $15

Answer 1

To represent the situation where you can purchase gift cards for $10 or $15 and have spent $190, we can use the equation in standard form:

10x + 15y = 190

Here, x represents the number of $10 gift cards purchased, and y represents the number of $15 gift cards purchased.

Now, let's examine the given combinations of gift cards and see which one satisfies the equation:

A. 0 gift cards for $10 and 12 gift cards for $15;

When x = 0 and y = 12:

10(0) + 15(12) = 0 + 180 = 180 ≠ 190

B. 12 gift cards for $10 and 1 gift card for $15;

When x = 12 and y = 1:

10(12) + 15(1) = 120 + 15 = 135 ≠ 190

C. 12 gift cards for $10 and 0 gift cards for $15;

When x = 12 and y = 0:

10(12) + 15(0) = 120 + 0 = 120 ≠ 190

D. 1 gift card for $10 and 12 gift cards for $15;

When x = 1 and y = 12:

10(1) + 15(12) = 10 + 180 = 190

Out of the given combinations, option D is the one that satisfies the equation. So, three combinations of gift cards you could have purchased are:

1 gift card for $10 and 12 gift cards for $15;

4 gift cards for $10 and 10 gift cards for $15;

16 gift cards for $10 and 2 gift cards for $15.

Therefore, the correct answer is option D.

Explanation: