Q:

How many shirts must be purchased so that the cost is the same for both companies company 1 $ per shirt 8.00 shipping 13.00 company 2 $ per shirt 7.50 shipping 16.00

Accepted Solution

A:
Let x equal the number of t-shirts ordered.The equation for each of the two companies for the cost of the shirt plus processing and handling fees would be:Company 1: Let x equal the number of t-shirts ordered.The equation for each of the two companies for the cost of the shirt plus processing and handling fees would be:Too Cool Tees: 6x + 12 = Total number of shirts boughtT-Shirts For Less: 7.50x +9 = Total number of shirts boughtSince you do not know how many family members are coming to the reunion yet, and you want to see at what point the t-shirts from the two companies would cost the same, you would set the equations equal to each other and solve. Anytime a problem tells you to find when two equations are the same, this means to set the two equations equal to each other. Your problem for our story would look like this: 6x + 12 = 7.50x +9. Solving for x tells you how many shirts would cost the same amount, no matter which company you order from. T-Shirts For Less: 2x + 7.50 +16 = Total number of shirts boughtSince you do not know how many family members are coming to the reunion yet, and you want to see at what point the t-shirts from the two companies would cost the same, you would set the equations equal to each other and solve. Anytime a problem tells you to find when two equations are the same, this means to set the two equations equal to each other. Your problem for our story would look like this:  = 7.50x +9. Solving for x tells you how many shirts would cost the same amount, no matter which company you order from.