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
[tex]x+y=53[/tex] -----> equation A
The number of 8th graders is 15 fewer than three times the number of 7th graders
so
[tex]y=3x-15[/tex] ----> equation B
substitute equation B in equation A
[tex]x+(3x-15)=53[/tex]
solve for x
[tex]x+3x=53+15\\4x=68\\x=17[/tex]
Find the value of y
[tex]y=3(17)-15=36[/tex]
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
