Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , pentru care a platit 360 de lei . Determinati pretul unui kg de portocale.

am nevoie urgent de raspuns .

Respuesta :

Answer:

One kilogram of oranges cost $3.

Step-by-step explanation:

The problem states

  • 1 kilogram of bananas costs as much as 2 kilograms of oranges. ([tex]1 \ kg \ bananas = 2 \ kg \ oranges[/tex])
  • 30 kilograms of oranges plues 45 kilograms of bananas cost $360.

Let's call [tex]x[/tex] one kilogram bananas and [tex]y[/tex] one kilogram oranges. The cost is related by

[tex]x=2y[/tex]

Also, we know by given

[tex]45x+30y=360[/tex]

Replacing the first equation into the second one, we have

[tex]45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3[/tex]

Then, we find the other value

[tex]x=2(3)=6[/tex]

Therefore, one kilogram of oranges cost $3.