Answer:
The store sold 43 pro NSL soccer balls.
The store sold 27 limited Edition soccer balls.
Step-by-step explanation:
Let x represent number of limited Edition soccer balls and y represent the number of pro NSL soccer balls.
We have been given that a sports store sells a total of 70 soccer balls in one month. We can represent this information in an equation as:
![x+y=70...(1)](https://tex.z-dn.net/?f=x%2By%3D70...%281%29)
Cost of x limited Edition soccer balls: ![65x](https://tex.z-dn.net/?f=65x)
Cost of y pro NSL soccer balls: ![15x](https://tex.z-dn.net/?f=15x)
We are also told that store collected a total of $2,400. We can represent this information in an equation as:
![65x+15y=2400...(2)](https://tex.z-dn.net/?f=65x%2B15y%3D2400...%282%29)
From equation (1), we will get:
![x=70-y](https://tex.z-dn.net/?f=x%3D70-y)
Substituting this value in equation (2), we will get:
![65(70-y)+15y=2400](https://tex.z-dn.net/?f=65%2870-y%29%2B15y%3D2400)
![4550-65y+15y=2400](https://tex.z-dn.net/?f=4550-65y%2B15y%3D2400)
![4550-50y=2400](https://tex.z-dn.net/?f=4550-50y%3D2400)
![4550-4550-50y=2400-4550](https://tex.z-dn.net/?f=4550-4550-50y%3D2400-4550)
![-50y=-2150](https://tex.z-dn.net/?f=-50y%3D-2150)
![\frac{-50y}{-50}=\frac{-2150}{-50}](https://tex.z-dn.net/?f=%5Cfrac%7B-50y%7D%7B-50%7D%3D%5Cfrac%7B-2150%7D%7B-50%7D)
![y=43](https://tex.z-dn.net/?f=y%3D43)
Therefore, the store sold 43 pro NSL soccer balls.
Now, we will substitute
in equation (1) to solve for x:
![x+43=70](https://tex.z-dn.net/?f=x%2B43%3D70)
![x+43-43=70-43](https://tex.z-dn.net/?f=x%2B43-43%3D70-43)
[tex]x=27/tex]
Therefore, the store sold 27 limited Edition soccer balls.