Question
Describe a real-world situation you could model using the equation 5x=50. Use mental math to solve the equation and explain what it means for your situation.
Answers
GPT-4o mini
A real-world situation that could be modeled by the equation \(5x = 50\) is about buying packs of energy drinks. Imagine you go to the store and each pack contains 5 energy drinks. If you have a budget of $50, you might want to find out how many packs of energy drinks you can buy with that amount.
To solve the equation, you would use mental math:
1. Start with the equation:
\[
5x = 50
\]
2. Divide both sides by 5 to find \(x\):
\[
x = \frac{50}{5}
\]
3. Simplifying the right side gives:
\[
x = 10
\]
This means that you can buy 10 packs of energy drinks with your budget of $50, since each pack costs $5 (5 drinks per pack = $5).
**Explanation of what it means for the situation:**
In this scenario, buying 10 packs allows you to maximize your spending while getting a total of \(10 \times 5 = 50\) individual energy drinks. Thus, the equation \(5x = 50\) helps us understand how many packs we can purchase within our given budget.
To solve the equation, you would use mental math:
1. Start with the equation:
\[
5x = 50
\]
2. Divide both sides by 5 to find \(x\):
\[
x = \frac{50}{5}
\]
3. Simplifying the right side gives:
\[
x = 10
\]
This means that you can buy 10 packs of energy drinks with your budget of $50, since each pack costs $5 (5 drinks per pack = $5).
**Explanation of what it means for the situation:**
In this scenario, buying 10 packs allows you to maximize your spending while getting a total of \(10 \times 5 = 50\) individual energy drinks. Thus, the equation \(5x = 50\) helps us understand how many packs we can purchase within our given budget.