Two fifths of the instruments in the marching band are brass, one third are percussion, and the rest are woodwinds. A)What fraction of the band is woodwinds?
B)One half of the woodwinds are clarinets. What fraction of the band is clarinets?
C)One eighth of the brass instruments are tubas. If there are 240 instruments in the band, how many are tubas?
THANK YOU!
Total (in fraction) = 1
Woodwinds = 1-2/5-1/3=(15-6-5)/15=4/15
half of woodwinds (4/15) are clarinets, so clarinets = (4/15)÷2= 2/15
One eighth of brass are tubas,
so
tubas = (2/5)÷8 = (2/40)=1/20
whole : 240
1/20 : x (number of tubas)
x=240*(1/20)÷1
=240/20
=12