Respuesta :
Answer:
Number of drummers in original ensemble [tex]=3[/tex]
Number of flutists in original ensemble [tex]=21[/tex]
Step-by-step explanation:
The ratio of flutists to drummers is [tex]7:1[/tex]
Let number of flutists and drummers be [tex]7x[/tex] and [tex]x[/tex].
As 2 drummers join the group and 6 flutists quit,
Number of drummers = [tex]x+2[/tex]
Number of flutists = [tex]7x-6[/tex]
New ratio of flutists to drummers = [tex]3:1[/tex]
So,
[tex]\frac{7x-6}{x+2}=\frac{3}{1}\\ 7x-6=3(x+2)\\7x-6=3x+6\\7x-3x=6+6\\4x=12\\x=3[/tex]
So,
Number of drummers in original ensemble [tex]=x=3[/tex]
Number of flutists in original ensemble [tex]=7x=7(3)=21[/tex]
Answer:
the answer is 5!!!
Step-by-step explanation: hope this helps
