Question
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each sandwich if they are all the same price?
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Groups
The inequality representing how much Charlie can spend is
Charlie can spend
choose your answer...
choose your answer...
》
Groups
The inequality representing how much Charlie can spend is
Charlie can spend
choose your answer...
choose your answer...
Answers
GPT-4o mini
To determine how much Charlie can spend on each sandwich, we first need to set up the relationship between his budget and his purchases. Charlie has a total budget of $27.
He is going to buy 6 sandwiches and 1 kid's meal for $3.
1. **Subtract the cost of the kid's meal from his total budget**:
Total budget = $27
Cost of kid's meal = $3
Remaining budget for sandwiches = $27 - $3 = $24
2. **Let \( x \) be the price of each sandwich**.
Since Charlie is buying 6 sandwiches, the total cost for the sandwiches can be expressed as \( 6x \).
3. **Set up the inequality**:
The total cost of the sandwiches must be less than or equal to his remaining budget:
\[
6x \leq 24
\]
4. **Solve for \( x \)**:
To find out how much he can spend on each sandwich, divide both sides of the inequality by 6:
\[
x \leq \frac{24}{6}
\]
\[
x \leq 4
\]
Therefore, Charlie can spend **$4 or less** on each sandwich.
In summary, the inequality representing how much Charlie can spend is:
\[
6x \leq 24
\]
which means Charlie can spend **$4 or less** on each sandwich.
He is going to buy 6 sandwiches and 1 kid's meal for $3.
1. **Subtract the cost of the kid's meal from his total budget**:
Total budget = $27
Cost of kid's meal = $3
Remaining budget for sandwiches = $27 - $3 = $24
2. **Let \( x \) be the price of each sandwich**.
Since Charlie is buying 6 sandwiches, the total cost for the sandwiches can be expressed as \( 6x \).
3. **Set up the inequality**:
The total cost of the sandwiches must be less than or equal to his remaining budget:
\[
6x \leq 24
\]
4. **Solve for \( x \)**:
To find out how much he can spend on each sandwich, divide both sides of the inequality by 6:
\[
x \leq \frac{24}{6}
\]
\[
x \leq 4
\]
Therefore, Charlie can spend **$4 or less** on each sandwich.
In summary, the inequality representing how much Charlie can spend is:
\[
6x \leq 24
\]
which means Charlie can spend **$4 or less** on each sandwich.
The inequality representing how much Charlie can spend is
Previous
choose your answer...
^
choose your answer...
6x+ 3≤27
6x+3≥27
3x+6≥27
3x+6<27
Previous
choose your answer...
^
choose your answer...
6x+ 3≤27
6x+3≥27
3x+6≥27
3x+6<27
GPT-4o mini
The correct inequality representing how much Charlie can spend is:
\[
6x + 3 \leq 27
\]
Here's the breakdown:
- \( 6x \): represents the total cost of the 6 sandwiches, where \( x \) is the price of each sandwich.
- \( 3 \): represents the cost of the kid's meal.
- \( 27 \): is Charlie's total budget.
So, the inequality \( 6x + 3 \leq 27 \) captures the relationship correctly, indicating that the total cost of the sandwiches plus the kid's meal should not exceed Charlie's budget.
Therefore, **the first option** \( 6x + 3 \leq 27 \) is the correct choice.
\[
6x + 3 \leq 27
\]
Here's the breakdown:
- \( 6x \): represents the total cost of the 6 sandwiches, where \( x \) is the price of each sandwich.
- \( 3 \): represents the cost of the kid's meal.
- \( 27 \): is Charlie's total budget.
So, the inequality \( 6x + 3 \leq 27 \) captures the relationship correctly, indicating that the total cost of the sandwiches plus the kid's meal should not exceed Charlie's budget.
Therefore, **the first option** \( 6x + 3 \leq 27 \) is the correct choice.