SOLUTION: In a local band orchestra, musicians are being arranged in two sections: string section and wind section. The total number of musicians in the orchestra is 95. The number of mus

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a local band orchestra, musicians are being arranged in two sections: string section and wind section. The total number of musicians in the orchestra is 95. The number of mus      Log On


   

Question 1210705: In a local band orchestra, musicians are being arranged in two sections: string section and
wind section.
The total number of musicians in the orchestra is 95.
The number of musicians in the wind section is one and a half times the number of musicians
in the string section.
(a) If 𝑠 represents the number of musicians in the string section, and 𝑤 represents the
number of musicians in the wind section, form TWO equations that represent this
situation.
(b) Solve these equations simultaneously to find the number of musicians in each section
Answer by KMST(5434) About Me  (Show Source):
You can put this solution on YOUR website!
(a) If 𝑠 represents the number of musicians in the string section, and 𝑤 represents the
number of musicians in the wind section, form TWO equations that represent this
situation.

s%2Bw=95 , w=1.5s


(b) Solve these equations simultaneously to find the number of musicians in each section

system%28s%2Bw=95%2Cw=1.5s%29 --> system%28s%2B1.5s=95%2Cw=1.5s%29 --> system%282.5s=95%2Cw=1.5s%29 --> system%28s=95%2F2.5%2Cw=1.5s%29 --> system%28s=38%2Cw=1.5s%29 --> system%28s%2B38%2Cw=1.5%2A38%0D%0A%29 --> highlight%28system%28s=38%2Cw=57%29%29