3 packets of French fries, 2 cheeseburgers, and one drink cost $10.95. 1 packet of French fries, 2 cheeseburgers, and 3 drinks cost $11.25. Find the price of 1 packet of French fries, 1 cheeseburger, and one drink?

Respuesta :

Answer:

The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55

Step-by-step explanation:

Let

x ----> the price of 1 packet of French fries

y ---> the price of 1 cheeseburger

z ---> the price of one drink

we know that

[tex]3x+2y+z=10.95[/tex] ----> equation A

[tex]x+2y+3z=11.25[/tex] ---> equation B

Adds equation A and equation B

[tex]3x+2y+z=10.95\\x+2y+3z=11.25\\------------\\3x+x+2y+2y+z+3z=10.95+11.25\\4x+4y+4z=22.2[/tex]

Divide both sides of the equation by 4

[tex]x+y+z=5.55[/tex] ----> equation C

The equation C means ----> The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55