Problema Solution

Bella surveyed her classmates in musical class. the ratio students prefer playing string instruments to those who prefer wind instruments is 2 : 5. there are 28 students in Bellas class. how many students prefer playing string instruments

Answer provided by our tutors

let


w = the number of students that prefer wind instrument

s = the number of students that prefer string instrument


the ratio students prefer playing string instruments to those who prefer wind instruments is 2 : 5


s : w = 2 : 5 cross multiply


5s = 2w


there are 28 students in Bella's class


s + w = 28


by solving the system of equations


5s = 2w

s + w = 28


we find


s = 8 students


w = 20 students


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8 students prefer string instruments.