Question
Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?
12 + 14х = 50
50 - 14 - 12 = x
12x + 14 = 50
50x + 12 = 14
12 + 14х = 50
50 - 14 - 12 = x
12x + 14 = 50
50x + 12 = 14
Answers
GPT-4o mini
Let's break down the problem step by step.
Casey has $50 to spend. She wants to buy a DVD for $14, and CDs that cost $12 each.
We can set up the equation for the total cost:
\[ 14 + 12x \leq 50 \]
where \( x \) is the number of CDs.
Now, let's solve for \( x \).
1. Subtract the cost of the DVD from the total amount:
\[
50 - 14 = 36
\]
2. Now, we have $36 left to spend on CDs. Next, we set up the equation:
\[
12x \leq 36
\]
3. Divide both sides by 12:
\[
x \leq 3
\]
This means Casey can buy a maximum of 3 CDs.
Let's check it:
- Cost of the DVD: $14
- Cost of 3 CDs: \( 3 \times 12 = 36 \)
- Total cost: \( 14 + 36 = 50 \)
Thus, Casey can buy **3 CDs**.
Casey has $50 to spend. She wants to buy a DVD for $14, and CDs that cost $12 each.
We can set up the equation for the total cost:
\[ 14 + 12x \leq 50 \]
where \( x \) is the number of CDs.
Now, let's solve for \( x \).
1. Subtract the cost of the DVD from the total amount:
\[
50 - 14 = 36
\]
2. Now, we have $36 left to spend on CDs. Next, we set up the equation:
\[
12x \leq 36
\]
3. Divide both sides by 12:
\[
x \leq 3
\]
This means Casey can buy a maximum of 3 CDs.
Let's check it:
- Cost of the DVD: $14
- Cost of 3 CDs: \( 3 \times 12 = 36 \)
- Total cost: \( 14 + 36 = 50 \)
Thus, Casey can buy **3 CDs**.