Answer:
80 members
Step-by-step explanation:
Let the band members be= b and the chorale members= c
Then, according to question, b=c+30 and [tex]\frac{b+10}{c+10}=\frac{3}{2}[/tex]
⇒[tex]2(b+10)=3(c+10)[/tex]
⇒[tex]2b+20=3c+30[/tex]
⇒[tex]2b-3c=30-20[/tex]
⇒[tex]2b-3c=10[/tex]
Now, substituting the value of b=c+30, we get
⇒[tex]2(c+30)-3c=10[/tex]
⇒[tex]2c+60-3c=10[/tex]
⇒[tex]-c=-50[/tex]
⇒[tex]c=50[/tex]
Therefore, [tex]b=c+30[/tex]
[tex]b=50+30=80[/tex]
Therefore, there are 80 members in the band.
