Question

Write and solve a real world one solution equation

Answer 1

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.