Question
Solve the word problem below using the steps given in the lesson.
Skylar needs $56 to buy a new video game. If he doubles the amount of money he has now, he will have enough to buy the game with $8 left over.
How much money does Skylar have right now?
Skylar needs $56 to buy a new video game. If he doubles the amount of money he has now, he will have enough to buy the game with $8 left over.
How much money does Skylar have right now?
Answers
GPT-4o mini
To solve the word problem, we can follow these steps:
1. **Understand the problem and identify variables:**
Let \( x \) be the amount of money Skylar currently has.
2. **Set up the equation based on the information given:**
According to the problem, if he doubles his current amount, he will have enough to buy the game (which costs $56) and will have $8 left over. This gives us the equation:
\[
2x = 56 + 8
\]
3. **Simplify the equation:**
We can simplify the right side:
\[
2x = 64
\]
4. **Solve for \( x \):**
To find \( x \), divide both sides by 2:
\[
x = \frac{64}{2}
\]
\[
x = 32
\]
5. **Conclusion:**
Skylar has $32 right now.
To verify, if Skylar has $32 and he doubles it, he will have:
\[
2 \times 32 = 64
\]
This amount is enough to buy the game ($56) and will leave him with:
\[
64 - 56 = 8
\]
This matches the condition in the problem, confirming that our solution is correct.
Thus, Skylar has **$32** right now.
1. **Understand the problem and identify variables:**
Let \( x \) be the amount of money Skylar currently has.
2. **Set up the equation based on the information given:**
According to the problem, if he doubles his current amount, he will have enough to buy the game (which costs $56) and will have $8 left over. This gives us the equation:
\[
2x = 56 + 8
\]
3. **Simplify the equation:**
We can simplify the right side:
\[
2x = 64
\]
4. **Solve for \( x \):**
To find \( x \), divide both sides by 2:
\[
x = \frac{64}{2}
\]
\[
x = 32
\]
5. **Conclusion:**
Skylar has $32 right now.
To verify, if Skylar has $32 and he doubles it, he will have:
\[
2 \times 32 = 64
\]
This amount is enough to buy the game ($56) and will leave him with:
\[
64 - 56 = 8
\]
This matches the condition in the problem, confirming that our solution is correct.
Thus, Skylar has **$32** right now.
can you make it with less words and without all the symbols and slashes and less advanced
GPT-4o mini
Sure! Here’s a simpler version:
1. **What we know:** Skylar needs $56 for a video game. If he doubles his money now, he will have enough for the game and $8 left over.
2. **What we want to find:** How much money does Skylar have now?
3. **Set up the situation:** If Skylar's current money is "x," then doubling it would be "2x." According to the problem:
- 2x = 56 (cost of the game) + 8 (extra money)
4. **Calculate:**
- 2x = 64
- Dividing both sides by 2 gives us x = 32.
5. **Conclusion:** Skylar has $32 right now.
Checking: If he has $32 and doubles it, he gets $64. After buying the game for $56, he has $8 left. This is correct!
So, Skylar has **$32**.
1. **What we know:** Skylar needs $56 for a video game. If he doubles his money now, he will have enough for the game and $8 left over.
2. **What we want to find:** How much money does Skylar have now?
3. **Set up the situation:** If Skylar's current money is "x," then doubling it would be "2x." According to the problem:
- 2x = 56 (cost of the game) + 8 (extra money)
4. **Calculate:**
- 2x = 64
- Dividing both sides by 2 gives us x = 32.
5. **Conclusion:** Skylar has $32 right now.
Checking: If he has $32 and doubles it, he gets $64. After buying the game for $56, he has $8 left. This is correct!
So, Skylar has **$32**.