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The problem asks for an equation in standard form to represent the situation where a person spends $190 on gift cards that cost either $10 or $15. Let:

- $ x $ be the number of $10 gift cards,
- $ y $ be the number of $15 gift cards.

The total cost of the gift cards is given by the equation:

\[
10x + 15y = 190
\]

This equation represents the total cost where $ 10x $ is the total spent on $10 gift cards, and $ 15y $ is the total spent on $15 gift cards. Therefore, the correct answer is **D**: $ 10x + 15y = 190 $.

### Do you have any further questions or would you like more details?

Here are 5 related questions to expand on this:

1. How would you find specific values for $ x $ and $ y $ given this equation?
2. What would happen if the person spent a different amount, say $220? How would the equation change?
3. Can you graph this equation and find the intercepts?
4. How many combinations of gift cards would satisfy this equation?
5. What would be the scenario if the gift cards were priced at $20 and $25?

**Tip:** When dealing with problems involving sums and specific quantities, assigning variables to each type of quantity makes it easier to form and solve equations.

A store sells gift cards in preset amounts. You can purchase gift 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?

Learn how to represent a real-world scenario involving gift card purchases in algebraic form. This problem uses a linear equation (10x + 15y = 190) to represent the total spent on gift cards. Explore how to find different combinations of gift cards that add up to $190. Suitable for Grades 6-8 students.

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