35 T-Shirt order costs 337.50. 56 cost 516. Include shipping and handling. Cost per shirt? Shipping and handling Charge? Linear Equation?

Question

The first order was for 35 T-shirts and it cost $337.50. The second order was for 56 T-shirts and it cost $516. The prices include a standard shipping and handling charge. What is the cost per shirt? What is the shipping and handling charge? Write a linear equation to represent the situation.

Answer 1

I interpreted the question to have one shipping cost, independent of number of shirts ordered:

 

   35c + s = 337.50

   56c + s = 516

 

In this case, the cost per shirt (c) and shipping costs (s) can be found.

Answer 2

c represents the cost per shirt

s represents the s&h per shirt

 

35c + 35s = 337.50

56c + 56s = 516

 

Can you solve the system?