Brenda and Cody are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Brenda sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151. Cody sold 1 small box of tangerines and 3 large boxes of tangerines for a total of $68. Find the cost each of one small box of tangerines and one large box of tangerines

the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19

Step-by-step explanation:

Step 1

Let price of  small box of tangerines be represented as x

and price of large box of tangerines be represented as y

Such that the equqtion for  Brenda who sold  12 small boxes of tangerines and 1 large box of tangerines for a total of $151 be represented as

12x + y = 151equation 1

and

the equation for Cody who  1 small box of tangerines and 3 large boxes of tangerines for a total of $68

x + 3y= 68equation 2

Step 2

12x + y = 151equation 1

x + 3y= 68equation 2

By eliminaton  methd multiply equation 2 by 12

x + 3y= 68equation 2 x (12)

12x + 36y=816 equation 3

Subtract equation 1 from equation 3

12x + 36y=816 equation 3

-12x + y = 151equation 1

35y=665

y=665/35 =19

 to get x  , we substitute the value of y=19 into equation2

 x + 3y= 68

x+ 3 x 19=68

x=68-57

x=11

Therefore the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19