Jaidee and eugene are selling fruit for a school fundraiser. customers can buy small boxes of tangerines and large boxes of tangerines. jaidee sold 5 small boxes of tangerines and 4 large boxes of tangerines for a total of $130. eugene sold 2 small boxes of tangerines and 5 large boxes of tangerines for a total of $120. what is the cost each of one small box of tangerines and one large box of tangerines?

This is going to take a while. First, set up equations for both Jaidee and Eugene. Jaidee's equation is   s represents the cost of the small box of tangerines and  represents the cost of the large box of tangerines. Eugene's equation is  .  Next, I'm going to solve the equations through elimination. Multiply -2 by the first equation and multiply 5 by the second equation.   Do the same for the second equation.  . Then add   This gives you  . Next divide on both sides    this will give you  . So you know what  is. Next, plug in to  which looks like this . Solve 10s+500=600 = 10s+500-500=600-500 =10s=100 = 10s/10=100/10 = s=10 . So each box of small tangerines costs $10 and each box of large tangerines cost $20.