Question 1174640: 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 catalog, 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. 4. Choose a different method from the method you used in Exercise 3 to check your results. 5. How many trumpets did your school receive? How many trombones?
This is what I have so far,
x+y=24
and
350x+475y=10,950
I keep trying the combination method and I keep getting y=20.4 but when I plug it back into the original question I get 1.17647058824. Can you please help me on what I'm doing wrong.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
Yes; we can tell you what you did wrong -- not all of the numbers in your equations are the numbers that were given.
With the equations you show, the answer of x=20.4 is correct; but it is not a whole number.
Assuming you checked your work a second time and still got the same answer, which you know can't be right, you should then go back and see if your original equations were correct.
Apparently the work you did getting from your original equations to your answer was correct, so I will assume you can get the answer when you start with the right equations.
Answer by ikleyn(52813)  (Show Source):
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