David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

1.5x + 0.5y = 78.5 x + y = 87

1.5x + 0.5y = 78.5 1.5x + 0.5y = 87

x + y = 78.5 x + y = 87

x + y = 78.5 1.5x + 0.5y = 87

Answer: 1.5x + 0.5y = 78.5 x + y = 87

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The total earnings of David (78.50) must be equal to the product of the number of nachos sold (x) and the cost per nacho (1.50); plus the product of the number of sodas sold (y) and the cost per soda (0.50).

Mathematically speaking:

1.5 x + 0.5y = 78.5

And the sum of the number of nachos sold (x) and the number of sodas sold (y) must be equal to 87.

x+y = 87

So, the system is:

1.5x + 0.5y = 78.5

x + y = 87