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5. Emilio spent half of his savings to buy a video game. The video game cost \( \$ 63.75 \). How much was Emilio's savings? Define a variable and write an equation for this real-world problem. Qariable:

Ask by Harris Daniels. in the United States
Jan 23,2025

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Answer

Let \( S \) be Emilio's total savings. The equation is \( \frac{1}{2}S = 63.75 \).

Solution

**Variable:** Let \( S \) represent Emilio's total savings in dollars. **Equation:** \[ \frac{1}{2} \times S = 63.75 \] *Alternatively, the equation can be written as:* \[ \frac{S}{2} = 63.75 \]

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The Deep Dive

Let \( x \) represent Emilio's total savings. Since he spent half of his savings on a video game that cost $63.75, we can set up the equation: \[ \frac{x}{2} = 63.75 \] Now, to find his total savings, we can multiply both sides of the equation by 2: \[ x = 63.75 \times 2 \] And voilà, solving gives us \( x = 127.50 \). So, Emilio's total savings were $127.50! Emilio didn't just buy a fun game; he went on an exciting journey! Video games have been around since the 1970s, but they really exploded in popularity in the '80s with classics like Pac-Man and Super Mario. These days, gaming communities thrive online, and video games can even be beneficial for improving brain function and social skills! So, there’s a lot more to gaming than just hitting buttons and leveling up! Real-life budgeting is an essential skill, too! When spending money, it helps to keep a detailed list of your expenses to avoid overspending. A common mistake is making large purchases without considering the overall budget. It's smart to set aside a portion of your savings for savings goals and emergencies. Every dollar counts when you're trying to reach your financial dreams!

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