Question

Question 1

Sal is having a yard sale. He plans to sell his old DVDs and CDs. Combined, he has 75 DVDS and CDs. He prices them at $1.50 per CD and $4.50 per DVD. Let d represent the number of DVDs Sal sells and c represent the number of CDs Sal sells. He sells all of his DVDs and CDs and earns $262.50. Which of the following equations should be included in a system that reflects the constraints of this situation?
Oь
Ос
Od
1.5c+45d-75
1.50 +4.5d - 262.50
4.50 - 262.50
1.50 - 262 50
c+d-75

Answer 1

The equation that should be included in the system to reflect the constraints of the situation is 1.50c+4.50d = 262.50.

Step-by-step explanation:

The correct equation that should be included in the system to reflect the constraints of this situation is 1.50c+4.50d = 262.50.

To solve this problem, we need to set up a system of equations. Since Sal sells all of his DVDs and CDs, we know that d + c = 75, where d represents the number of DVDs and c represents the number of CDs. Furthermore, we know that the total earnings from selling the DVDs and CDs is $262.50. Since Sal prices the CDs at $1.50 each and the DVDs at $4.50 each, we can represent the total earnings as 1.50c + 4.50d = 262.50.

Combining these two equations gives us the system of equations:

d + c = 75

1.50c + 4.50d = 262.50