Question

Krystal and Mary are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Krystal sold 7 small boxes of tangerines and 14 large boxes of tangerines for a total of $266. Mary sold 14 small boxes of tangerines and 3 large boxes of tangerines for a total of $182. Find the cost each of one small box of tangerines and one large box of tangerines.​

Answer 1

Using a system of equations, it is found that a small box of tangerines costs $10 and a large box costs $14.

What is a system of equations?

• A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

• Variable x: Cost of a small box.

• Variable y: Cost of a large box.

Krystal sold 7 small boxes of tangerines and 14 large boxes of tangerines for a total of $266, hence:

$7x + 14y = 266$

Simplifying by 7:

$x + 2y = 38$

$x = 38 - 2y$

Mary sold 14 small boxes of tangerines and 3 large boxes of tangerines for a total of $182, hence:

$14x + 3y = 182$

Since $x = 38 - 2y$:

$14(38 - 2y) + 3y = 182$

$25y = 350$

$y = \frac{350}{25}$

$y = 14$

Then

$x = 38 - 2y = 38 - 2(14) = 10$

A small box of tangerines costs $10 and a large box costs $14.

To learn more about system of equations, you can take a look at brainly.com/question/24342899