Shayna and Natalie are selling fruit for a school fundraiser.

Question

Shayna and Natalie are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Shayna sold 8 small boxes of tangerines and 12 large boxes of tangerines for a total of $336. Natalie sold 4 small boxes of tangerines and 5 large boxes of tangerines for a total of $150. Find the cost of each of one small box of tangerines and one large box of tangerines.

Answer 1

8S + 12L = 336

4S + 5L = 150

multiply 2nd by 2 to get

8S + 10L = 300

subtract from 1st to get

2L = 36

L = 18 large boxes

4S = 150 - 5(18) = 150-90= 60

S = 60/4 = 15 small boxes