Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 4 small boxes of oranges and 7 large boxes of oranges for a total of $169. Ming sold 4 small boxes of oranges and 2 large boxes of oranges for a total of $74. Find the cost of each of one small box of oranges and one large box of oranges
Let
x -----> the cost of each of one small box
y ----> the cost of each of one large box
we have that
Matt
4x+7y=169 -----> equation 1
Ming
4x+2y=74 -----> equation 2
Solve the system of equations
Solve by graphing
Remember that when solving by graphing the solution is the intersection point both lines
using a graphing tool
see the attached figure
the solution is the point (9,19)
therefore
the cost of each of one small box is $9
the cost of each of one large box is $19