You are in the band room when a shipment of new trumpets and trombones arrives. Your music teacher asks you to make sure the order is right. All the boxes are about the same size, so you find the number of boxes in the shipment. There are 27 total boxes. The bill shows the school paid $10,950. In the catalogue, the price of a new trumpet is $350 and the price of a new trombone is $475. 1. Write an equation representing the total number of instruments.
2. Write an equation representing the total cost.
3. Using your equations from Exercises 1 and 2, write and solve the linear system using substitution.
4. How many trumpets did your school receive? How many trombones?
5. Check your results by graphing your linear system.