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10 votes
a) How many students play an instrument and play a sport?b) what fraction of students do not play sports?c) What fraction of students do not play sports but play an instrument?d) What fraction of sports playing students play an instrument?

a) How many students play an instrument and play a sport?b) what fraction of students-example-1
User Robert Nubel
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1 Answer

22 votes
22 votes

a. The number of student that play an instrument and a sport is 23.

b. The fraction of student that do not play sports can be calculated below


\begin{gathered} \text{total number that play sport = 23 + 15=38} \\ \text{total number that do not play sport =18+4=22} \\ \text{total number = 38+22=60 } \\ \text{fraction that do not play sport = }(22)/(60)=(11)/(30) \end{gathered}

c. The fraction of students that do not play sports but play an instrument can be computed below


\text{fractions that do not play sport but play instrument = }(18)/(60)=(6)/(20)=(3)/(10)

d. The fraction of sport playing students that play instrument can be computed below


\begin{gathered} \text{the fraction of sport playing student that play an instrument= }(23)/(41) \\ \end{gathered}

User Merricat
by
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