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 wood wind?
B. One half of the woodwinds are clarinets. What fraction of the band is clarinets?
C. One eight of the brass instruments are tubas. If there are 240 instruments in the band, how many are tubas?
b=2/5
p=1/5
remaining are wind wood=1-2/5-1/3=4/15
clarinet=1/2(4/5)=2/15
tubas=1/8(b)=1/8(2/5)=1/20
let m be the no of tubas
m=240/20
m=??
Idk I need help
A. To find the fraction of the band that is woodwind instruments, we need to subtract the fraction of brass instruments (two fifths) and the fraction of percussion instruments (one third) from one (since the remaining instruments are woodwinds).
Fraction of brass instruments: 2/5
Fraction of percussion instruments: 1/3
Fraction of woodwind instruments = 1 - (2/5) - (1/3)
= 15/15 - 6/15 - 5/15
= (15 - 6 - 5)/15
= 4/15
Therefore, four fifteenths (4/15) of the band is woodwind instruments.
B. To find the fraction of the band that is clarinets, we need to know the fraction of woodwinds that are clarinets. It is given that one half of the woodwinds are clarinets.
Fraction of woodwinds that are clarinets = 1/2
Now, we can multiply the fraction of the band that is woodwinds (4/15) by the fraction of woodwinds that are clarinets (1/2) to find the fraction of the band that is clarinets.
Fraction of the band that is clarinets = (4/15) * (1/2)
= 4/30
= 2/15
Therefore, two fifteenths (2/15) of the band is clarinets.
C. To find the number of tubas in the band, we need to know the total number of instruments in the band. It is given that there are 240 instruments in the band.
Total number of instruments in the band = 240
The fraction of brass instruments that are tubas is one eighth (1/8). To find the number of tubas, we can multiply the total number of instruments by the fraction of brass instruments that are tubas.
Number of tubas = 240 * (1/8)
= 240/8
= 30
Therefore, there are 30 tubas in the band.