Dexter Has A Gift Card For $\$20.00$ To An Electronics Store. He Also Has A Coupon For $25\%$ Off His Entire Purchase, So He Will Be Paying $75\%$ Of The Total Cost. He Plans To Buy A Video Game For $\$10.00$ And

Feb 25, 2025 by ADMIN 213 views

Dexter's Electronics Shopping Adventure: A Math Problem

Dexter has a gift card for $\$20.00$ to an electronics store, which he plans to use to buy a video game and other items. He also has a coupon for $25\%$ off his entire purchase, so he will be paying $75\%$ of the total cost. In this article, we will explore how Dexter can use his gift card and coupon to make the most of his shopping experience.

Understanding the Gift Card and Coupon

Dexter's gift card is worth $\$20.00$ , which means he can use it to pay for a portion of his purchase. The coupon, on the other hand, offers a discount of $25\%$ off his entire purchase. This means that Dexter will only pay $75\%$ of the total cost of his items.

Calculating the Total Cost

Let's assume that Dexter plans to buy a video game for $\$10.00$ . Since he has a gift card for $\$20.00$ , he can use it to pay for the video game and still have $\$10.00$ left over. However, he also wants to buy other items, so let's calculate the total cost of his purchase.

If Dexter buys the video game for $\$10.00$ , and he has a gift card for $\$20.00$ , he can use the gift card to pay for the video game and still have $\$10.00$ left over. However, he also wants to buy other items, so let's calculate the total cost of his purchase.

Applying the Coupon

Since Dexter has a coupon for $25\%$ off his entire purchase, he will only pay $75\%$ of the total cost. Let's assume that the total cost of his purchase is $x$ . Then, the amount he will pay is $0.75x$ .

Solving for the Total Cost

We know that Dexter will pay $0.75x$ for his purchase, and he has a gift card for $\$20.00$ . We also know that he plans to buy a video game for $\$10.00$ . Let's assume that the total cost of his purchase is $x$ . Then, we can set up the equation:

0.75x = 10 + (x - 20)

Simplifying the equation, we get:

0.75x = 10 + 0.75x - 15

Combine like terms:

0.75x = 0.75x - 5

Subtract $0.75x$ from both sides:

0 = -5

This is a contradiction, which means that our assumption that the total cost of Dexter's purchase is $x$ is incorrect. Let's try again.

A Different Approach

Instead of assuming that the total cost of Dexter's purchase is $x$ , let's try to find the total cost by adding up the cost of each item. We know that Dexter plans to buy a video game for $\$10.00$ , and he has a gift card for $\$20.00$ . Let's assume that he also buys other items that cost $y$ dollars. Then, the total cost of his purchase is:

10 + 20 + y = 30 + y

Since Dexter has a coupon for $25\%$ off his entire purchase, he will only pay $75\%$ of the total cost. Let's calculate the amount he will pay:

0.75(30 + y) = 22.5 + 0.75y

Finding the Value of y

We know that Dexter will pay $22.5 + 0.75y$ for his purchase, and he has a gift card for $\$20.00$ . We also know that he plans to buy a video game for $\$10.00$ . Let's assume that the value of $y$ is $x$ . Then, we can set up the equation:

22.5 + 0.75x = 10 + 20

Simplifying the equation, we get:

22.5 + 0.75x = 30

Subtract $22.5$ from both sides:

0.75x = 7.5

Divide both sides by $0.75$ :

x = 10

In this article, we explored how Dexter can use his gift card and coupon to make the most of his shopping experience. We calculated the total cost of his purchase by adding up the cost of each item and applying the coupon. We also found the value of $y$ by setting up an equation and solving for it. By following these steps, Dexter can make the most of his gift card and coupon and get the best deal on his purchase.

The final answer is $\boxed{10}$ .

This problem is a great example of how math can be applied to real-life situations. By using algebraic equations and solving for variables, we can find the total cost of a purchase and make the most of gift cards and coupons. This problem also highlights the importance of understanding the terms and conditions of a coupon and how to apply it to a purchase.

A person has a gift card for $\$50.00$ to a clothing store. They also have a coupon for $20\%$ off their entire purchase. If they plan to buy a shirt for $\$20.00$ , how much will they pay?
A person has a gift card for $\$100.00$ to an electronics store. They also have a coupon for $30\%$ off their entire purchase. If they plan to buy a video game for $\$50.00$ , how much will they pay?

These problems are similar to the one we solved in this article, but with different values and percentages. By applying the same steps and techniques, we can find the total cost of the purchase and make the most of the gift card and coupon.
Dexter's Electronics Shopping Adventure: A Math Problem Q&A

In our previous article, we explored how Dexter can use his gift card and coupon to make the most of his shopping experience. We calculated the total cost of his purchase by adding up the cost of each item and applying the coupon. In this article, we will answer some frequently asked questions about the problem and provide additional insights.

Q: What is the total cost of Dexter's purchase? A: The total cost of Dexter's purchase is $\$30 + y$ , where $y$ is the cost of other items he plans to buy.

Q: How much will Dexter pay for his purchase? A: Dexter will pay $22.5 + 0.75y$ for his purchase, which is $75\%$ of the total cost.

Q: What is the value of $y$ ? A: The value of $y$ is $10$ , which is the cost of other items Dexter plans to buy.

Q: How can I apply this problem to my own shopping experience? A: You can apply this problem to your own shopping experience by using gift cards and coupons to make the most of your purchases. Simply calculate the total cost of your items, apply the coupon, and find the value of any variables.

Q: What if I have a different coupon or gift card? A: If you have a different coupon or gift card, you can simply substitute the values into the equations and solve for the total cost and amount paid.

Q: Can I use this problem to calculate the cost of a purchase with multiple items? A: Yes, you can use this problem to calculate the cost of a purchase with multiple items. Simply add up the cost of each item and apply the coupon to find the total cost and amount paid.

Q: How can I use algebra to solve this problem? A: You can use algebra to solve this problem by setting up equations and solving for variables. In this case, we used the equation $0.75x = 10 + (x - 20)$ to find the value of $x$ .

Q: What is the importance of understanding the terms and conditions of a coupon? A: Understanding the terms and conditions of a coupon is important because it can affect the amount you pay for your purchase. In this case, the coupon offered a discount of $25\%$ off the entire purchase, which meant that Dexter only paid $75\%$ of the total cost.

In this article, we answered some frequently asked questions about the problem and provided additional insights. We also highlighted the importance of understanding the terms and conditions of a coupon and how to apply it to a purchase. By following these steps and techniques, you can make the most of your gift cards and coupons and get the best deal on your purchases.

The final answer is $\boxed{10}$ .

A person has a gift card for $\$50.00$ to a clothing store. They also have a coupon for $20\%$ off their entire purchase. If they plan to buy a shirt for $\$20.00$ , how much will they pay?
A person has a gift card for $\$100.00$ to an electronics store. They also have a coupon for $30\%$ off their entire purchase. If they plan to buy a video game for $\$50.00$ , how much will they pay?