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)
B y = (2 × 6) + (3 × 8) − (2 × 15) is the correct equation to find the amount of money David had left.
The correct answer is C.
The equation y = (2 × 15) − (2 × 6) + (3 × 8) can be used to find the amount of money David had left after he sold five games and bought two more.
Let's break down the equation:
- (2 × 15) represents the cost of the two new video games he bought.
- (2 × 6) represents the money he earned from selling the two games for $6 each.
- (3 × 8) represents the money he earned from selling the three games for $8 each.
By subtracting the costs from the earnings, we can find the amount of money left over.
To find the amount of money David had left after he sold five games and bought two more, we need to subtract the cost of the two new video games from the total amount he earned from selling the five games.
David sold two video games for $6 each, so he earned 2 * $6 = $12 from those.
He also sold three video games for $8 each, so he earned 3 * $8 = $24 from those.
Therefore, the total amount David earned from selling the five games is $12 + $24 = $36.
The cost of the two new video games is 2 * $15 = $30.
To find the amount of money David had left, we need to subtract the cost of the new games from the total amount he earned, so the equation that represents this is:
y = $36 - $30
Simplifying this equation, we have:
y = $6
Therefore, the correct equation is:
y = (2 * 6) + (3 * 8) - (2 * 15) = 12 + 24 - 30 = 36 - 30 = 6
So, the answer is:
B) y = (2 * 6) + (3 * 8) - (2 * 15)