Two-fifths of the instruments in the marching bands are brass. One-eighth of the brass instruments are tubas. what fraction of the band is tubas? if there are 240 band instruments total, how many are tubas?
2/5 * 1/8 = 2/40 = 1/20
1/20 * 240 = ?
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To find the fraction of the band that is tubas, we need to determine the fraction of the brass instruments that are tubas and then multiply it by the fraction of instruments that are brass.
First, we need to find the fraction of instruments that are brass. We are given that two-fifths of the instruments are brass. To calculate this fraction, divide the number of brass instruments by the total number of instruments:
Fraction of instruments that are brass = (Number of brass instruments) / (Total number of instruments)
Since we are given that two-fifths of the instruments are brass, we can set up the equation:
2/5 = (Number of brass instruments) / 240
To solve for the number of brass instruments, we can rearrange the equation:
(Number of brass instruments) = (2/5) * 240
Next, we need to find the fraction of the brass instruments that are tubas. We are given that one-eighth of the brass instruments are tubas. To calculate this fraction, divide the number of tubas by the total number of brass instruments:
Fraction of brass instruments that are tubas = (Number of tubas) / (Number of brass instruments)
Since we don't know the exact number of brass instruments, we can use the value we calculated earlier:
Fraction of brass instruments that are tubas = (Number of tubas) / [(2/5) * 240]
Finally, to find the number of tubas, we can multiply the fraction of brass instruments that are tubas by the total number of instruments:
Number of tubas = (Fraction of brass instruments that are tubas) * 240
Now, let's substitute the values into the equations and calculate the answer:
(Number of brass instruments) = (2/5) * 240 = 96
Fraction of brass instruments that are tubas = (Number of tubas) / [(2/5) * 240]
Number of tubas = (Fraction of brass instruments that are tubas) * 240
Now, we need more information about the fraction of brass instruments that are tubas to calculate the number of tubas.