8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.

b. Find the cost of a small box of oranges and the cost of a large box of oranges​

Respuesta :

Answer:

x = 55 - 2y

y = 70 - 3x

x = 17

y = 19

Step-by-step explanation:

let x = small box

y = large box

6x + 12y = 330

12x + 4y = 280

6x + 12y = 330

6x = 330 -12y

6x/6 = (330-12y)/6

x = 55 - 2y

12x + 4y = 280

4y = 280 -12x

4y/4 = (280 -12x)/4

y = 70 - 3x

small box cost:

x = 55 - 2y

x = 55 - 2(70-3x)

x = 55 -140 + 6x

x - 6x = -85

-5x = -85

x = 17

large box

y = 70 - 3x

y = 70 - 3(17)

y = 70 - 51

y = 19

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