At a local garden shop, the price of plants includes sales tax. The cost of 4 large plants and 8 medium plants is $40. The cost of 5 large plants and 2 medium plants is $28
If l is the cost of a large plant and m is the cost of a medium plant, write a system of equations that models this situation.
Could the cost of one large plant be $5.50 and the cost of one medium plant be $2.25 ? Justify your answer.
Determine algebraically both the cost of a large plant and the cost of a medium plant.