David sold two video games for $6 each and three video games for $8 each. He used the money to buy two new video games that cost $15 each, and still had some money left over. Which equation can be used to find y, the amount of money David had left after he sold five games and bought two more?
Responses
A y = (2 × 3 + 14) − (2 × 15)y = (2 × 3 + 14) − (2 × 15)
B y = (2 × 6) + (3 × 8) − (2 × 15)y = (2 × 6) + (3 × 8) − (2 × 15)
C y = (2 × 15) − (2 × 6) + (3 × 8)y = (2 × 15) − (2 × 6) + (3 × 8)
D y = (5 × 14) − (2 × 15)y = (5 × 14) − (2 × 15)
D y = (5 × 14) − (2 × 15)
To find the equation for the amount of money David had left after selling five games and buying two more, we need to calculate the total amount he earned from selling the games and subtract the total cost of the new games.
First, let's calculate the total amount earned from selling the games:
David sold two video games for $6 each, so he earned 2 * $6 = $<<2*6=12>>12 from these sales.
He also sold three video games for $8 each, so he earned 3 * $8 = $<<3*8=24>>24 from these sales.
Next, let's calculate the total cost of the new games:
David bought two new video games for $15 each, so the cost of these games is 2 * $15 = $<<2*15=30>>30.
Finally, let's find the equation for the amount of money David had left:
y = (Total earnings) - (Total cost of new games)
y = ($12 + $24) - $30
This simplifies to y = $36 - $30.
The correct equation is:
y = (2 × 6) + (3 × 8) - (2 × 15)
Therefore, the answer is B.
To find the equation that can be used to find the amount of money David had left after he sold five games and bought two more, let's break it down step by step:
1. David sold two video games for $6 each, so he earned 2 * $6 = $12.
2. David also sold three video games for $8 each, so he earned 3 * $8 = $24.
3. In total, David earned $12 + $24 = $36 from selling five games.
4. David used this money to buy two new video games that cost $15 each, so he spent 2 * $15 = $30.
5. To find the amount of money David had left, we subtract the amount he spent from the amount he earned; therefore, the equation becomes y = $36 - $30.
6. Simplifying the equation gives us y = $6.
So, the equation that can be used to find the amount of money David had left after he sold five games and bought two more is:
y = (2 * 6) + (3 * 8) - (2 * 15)
Therefore, the correct answer is B) y = (2 * 6) + (3 * 8) - (2 * 15).