How many groups of students went in the globe? groups $\newline$ ( $7$ ) Every year musicians from our school and other schools come together to hold the All-District Winter Concert. This year $28$ string players, $23$ woodwind players, $5$ percussionists, and $19$ brass players participated. The concert always includes a special song played by only the best musicians - the top third of all the musicians in the concert. $\newline$ How many students participated in this special song? students

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Percents of numbers: word problems

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Q. How many groups of students went in the globe? groups

\newline

(

7

) Every year musicians from our school and other schools come together to hold the All-District Winter Concert. This year

28

string players,

23

woodwind players,

5

percussionists, and

19

brass players participated. The concert always includes a special song played by only the best musicians - the top third of all the musicians in the concert.

\newline

How many students participated in this special song? students

Calculate Total Musicians: Calculate the total number of musicians who participated in the concert. $\newline$ Add the number of string players, woodwind players, percussionists, and brass players together. $\newline$ Total musicians $= 28$ string players $+ 23$ woodwind players $+ 5$ percussionists $+ 19$ brass players $\newline$ Total musicians $= 28 + 23 + 5 + 19$ $\newline$ Total musicians $= 75$
Determine Students in Special Song: Determine the number of students who participated in the special song. $\newline$ Since the special song is played by the top third of all the musicians, we need to divide the total number of musicians by $3$ . $\newline$ Number of students in special song $= \frac{\text{Total musicians}}{3}$ $\newline$ Number of students in special song $= \frac{75}{3}$ $\newline$ Number of students in special song $= 25$
Verify Student Calculation: Verify that the number of students calculated is indeed a third of the total number of musicians. $\newline$ A third of $75$ is $25$ , which matches our calculation. $\newline$ Verification: $75 / 3 = 25$