Question

Krystal and Alberto are selling fruit for a school fundraiser. Krystal sold 2 small boxes of oranges and 13 large boxes of oranges for a total of $246. Alberto sold 10 small boxes of oranges and 1 large box of oranges for a total of $78. How much does one small box of oranges cost?

Answer 1

Answer:

One small box of orange costs $6

Step-by-step explanation:

Let x represent the cost of one small box of oranges, and y represent one large box of oranges.

For Krystal, we have:

2x + 13y = 246 .......................................................................(1)

For Alberto, we have:

10x + y = 78 ............................................................................(2)

From (2), we have:

y = 78 - 10x .............................................................................(3)

Using the expression for y given in (3) in (1)

2x + 13(78 - 10x) = 246

2x + 1014 - 130x = 246

2x - 130x = 246 - 1014

-128x = -768

x = 768/128

= 6

Substitute x = 6 in (3)

y = 78 - 10(3)

= 78 - 30

= 48

Therefore, x = $6, and y = $48

One small box costs $6