the manager of a music store ordered 20 new violins she ordered some of two different models-the standard and the deluxe. each standard violin costs $500, and the deluxe costs $800.

if the manager spent exactly $11,500 on these violins, how many deluxe violins did she order? show your work or explain how you know
you have to use the elimination process ..

Question

the manager of a music store ordered 20 new violins she ordered some of two different models-the standard and the deluxe. each standard violin costs $500, and the deluxe costs $800. 

if the manager spent exactly $11,500 on these violins, how many deluxe violins did she order? show your work or explain how you know
you have to use the elimination process ..

anonymous · Answer

Let x = number of standard violins.
Let y = number of deluxe violins.

500x + 800y = 11 500
x + y = 20

Using the process of elimination:

500x + 800y = 11 500
500x + 500y = 10 000

300y = 1500
 y = 1500/300
Therefore y = 5
Therefore, 5 deluxe violins were ordered.

Hope I helped

anonymous · Answer

in this part
 "500x + 800y = 11 500
500x + 500y = 10 000"  how did you get the 10,000?

anonymous · Answer

To be able to use the process of elimination, we have to get 1 of the variables to cancel out, so the other can be isolated and solved for. Therefore, if we multiply the entire second equation by 500, we can get the x's in both equation to be equal. From there, we can just subtract both equations and isolate/solve for y.