Question

Phil and Nick are selling fruit for a fundraiser. Customers can buy small and large boxes of tangerines. Phil sold 11 small boxes and 10 large boxes of tangerines for a total of $146. Nick sold 5 small boxes of tangerines and 12 large boxes of tangerines for a total of $126.

Write the systems of equations.
What is the cost of a large box of tangerines?

Answer 1

11s + 10l = 146

5s + 12l = 126

$8

Explanation:

Let :

Small box = s

Large box = l

11s + 10l = 146 - - - - (1)

5s + 12l = 126 - - - - (2)

Multiply (1) by 5 ; (2) by 11

55s + 50l = 730

55s + 132l = 1386

Subtract

-82l = - 656

l = 8

11s + 10(8) = 146

11s + 80 = 146

11s = 66

s = $6

Hence, the price of a large box of tangerine = $8