A fruit company delivers its fruit in two types of boxes, large and small. A delivery of 4 large boxes and 8 small boxes has a total weight of 105 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 46 kilograms.How much does each type of box weigh?

Question

anonymous · Answer

4L+8S=105 and 2L+3S=46 now solve the system of linear equations to find the values of L and S.

anonymous · Answer

How do I do that @hullsnipe

anonymous · Answer

Solve one of the equations for "L" then substitute that value into the other equation and solve for "S", you will get a number. Now plug that number in for S into either equation and solve for the number of L.  The first step I mentioned is as follows:
$$4L+8S=105$$
$$4L = 105-8S$$
$$L=\frac{ 105-8S }{4 }$$
Now use this to continue on.