Answer:
The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36
Step-by-step explanation:
Let
x ----> the number of 7th students on the Jackson Middle School basketball teams
y ----> the number of 8th students on the Jackson Middle School basketball teams
we know that
There are 53 students on the Jackson Middle School basketball teams
so
-----> equation A
The number of 8th graders is 15 fewer than three times the number of 7th graders
so
----> equation B
substitute equation B in equation A
![x+(3x-15)=53](https://tex.z-dn.net/?f=x%2B%283x-15%29%3D53)
solve for x
![x+3x=53+15\\4x=68\\x=17](https://tex.z-dn.net/?f=x%2B3x%3D53%2B15%5C%5C4x%3D68%5C%5Cx%3D17)
Find the value of y
![y=3(17)-15=36](https://tex.z-dn.net/?f=y%3D3%2817%29-15%3D36)
therefore
The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36