Question
Write and solve a real world one solution equation
Answers
GPT-4o mini
Sure! Let's create a real-world scenario that involves a single linear equation with one solution.
**Scenario:**
Suppose you are saving money to buy a new laptop that costs $800. You already have $200 saved up, and you plan to save an additional $50 each month. We want to find out how many months it will take for you to reach the total amount needed to buy the laptop.
**Let's Set Up the Equation:**
Let \( x \) be the number of months it takes to save enough money for the laptop. The total amount saved after \( x \) months can be expressed as:
\[
200 + 50x
\]
We want this total to equal the cost of the laptop, which is $800. Therefore, we can set up the equation:
\[
200 + 50x = 800
\]
**Solving the Equation:**
1. Subtract 200 from both sides:
\[
50x = 800 - 200
\]
\[
50x = 600
\]
2. Divide both sides by 50:
\[
x = \frac{600}{50}
\]
\[
x = 12
\]
**Conclusion:**
It will take you **12 months** to save enough money to buy the laptop.
**Scenario:**
Suppose you are saving money to buy a new laptop that costs $800. You already have $200 saved up, and you plan to save an additional $50 each month. We want to find out how many months it will take for you to reach the total amount needed to buy the laptop.
**Let's Set Up the Equation:**
Let \( x \) be the number of months it takes to save enough money for the laptop. The total amount saved after \( x \) months can be expressed as:
\[
200 + 50x
\]
We want this total to equal the cost of the laptop, which is $800. Therefore, we can set up the equation:
\[
200 + 50x = 800
\]
**Solving the Equation:**
1. Subtract 200 from both sides:
\[
50x = 800 - 200
\]
\[
50x = 600
\]
2. Divide both sides by 50:
\[
x = \frac{600}{50}
\]
\[
x = 12
\]
**Conclusion:**
It will take you **12 months** to save enough money to buy the laptop.