lisa buys a dozen apples and two oranges. Jeremy buys six apples. Oranges cost $1 each, and they spend $11 total. How could you define variables to find the cost of the apples and oranges?

Respuesta :

Answer:

Let the variable "x" represent the price of apples, and the variable "y" represent the price of oranges.

Lisa bought a dozen apples and two oranges.

Hence, she spent $[tex]$(12x+2y)[/tex]

Jeremy bought six apples, which means he spent $[tex]$(6x)[/tex]

The total is $11.

If we add up the variables from Lisa and Jeremy, we now know that

$([tex]18x+2y[/tex])=$11.

Since oranges cost $1 each, we can replace the variable y with $1.

$([tex]18x+2(1)[/tex])=$11

$[tex]$(18x+2)[/tex]=$11

Subtract $2 on both sides:

$[tex]18x[/tex]=$[tex]9[/tex]

Divide both sides by 18:

[tex]x=[/tex]$ [tex]0.50[/tex]

Apples are $0.50, whereas oranges are $1.