Respuesta :
Let
x------> the number of multiple choice question
y------> the number of free response question
we know that
[tex]3x+8y=55[/tex] -----> equation A
[tex]x+y=15[/tex]
[tex]x=15-y[/tex] -----> equation B
Substitute equation B in equation A
[tex]3[15-y]+8y=55[/tex]
[tex]45-3y+8y=55[/tex]
[tex]5y=55-45[/tex]
[tex]5y=10[/tex]
[tex]y=2[/tex]
Find the value of x
[tex]x=15-y[/tex]
[tex]x=15-2=13[/tex]
therefore
the answer is
the number of multiple choice question are [tex]13[/tex]
the number of free response question are [tex]2[/tex]