Charles has 24 marbles. He has 6 more yellow marbles than blue marbles. Which equation represents this situation? n + (n + 6) = 24, where n is the number of blue marbles n + 6n = 24, where n is the number of yellow marbles n + (n + 6) = 24, where n is the number of yellow marbles n + 6n = 24, where n is the number of blue marbles
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles. Which equation represents this situation? n + (n + 6) = 24, where n is the number of blue marbles n + 6n = 24, where n is the number of yellow marbles n + (n + 6) = 24, where n is the number of yellow marbles n + 6n = 24, where n is the number of blue marbles
The Correct Answer and Explanation is:
✅ Correct Answer:
n + (n + 6) = 24, where n is the number of blue marbles
🧠 Explanation
Let’s carefully analyze the problem.
Charles has 24 marbles in total, which includes both blue marbles and yellow marbles. We are told that the number of yellow marbles is 6 more than the number of blue marbles. This is key to forming the correct equation.
Let’s represent the number of blue marbles as n.
Since there are 6 more yellow marbles than blue, the number of yellow marbles would be n + 6.
Now, if you add both the blue and yellow marbles together, it should equal 24 (because that’s the total number of marbles Charles has): Blue marbles+Yellow marbles=24\text{Blue marbles} + \text{Yellow marbles} = 24Blue marbles+Yellow marbles=24
Substitute in the expressions for each: n+(n+6)=24n + (n + 6) = 24n+(n+6)=24
So, this is the correct equation. Let’s briefly explain why the other options are incorrect:
Incorrect Options:
- n + 6n = 24, where n is the number of yellow marbles
➤ This implies there are 6 times as many of one color, not 6 more. That’s a multiplication relationship, not addition. - n + (n + 6) = 24, where n is the number of yellow marbles
➤ This incorrectly assumes that yellow is the base amount, and then adds 6 to find blue. But the problem says yellow is 6 more than blue, not the other way around. - n + 6n = 24, where n is the number of blue marbles
➤ Again, this suggests there are 6 times more yellow than blue marbles, not just 6 more.
📌 Summary:
The key phrase “6 more yellow marbles than blue marbles” tells us to use addition, not multiplication. Representing blue marbles as n, the yellow marbles become n + 6. Therefore, the equation:
n + (n + 6) = 24 is the only one that matches the conditions described in the problem.
