"TRALAALAA" the choir sang

Algebra Level 3

The ratio of females to males in a choir is 7:4. If 12 males and 3 females are absent from a particular practice, the ratio of females to males is 5:2. How many members of the choir attended this particular practice?


The answer is 84.

Maximum Jackson by Maximum Jackson , 21, USA

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2 solutions

Vasudev Chandna
Mar 21, 2015

Make sure you subtract 15(members who were absent) from the total number, i.e. Males+Females= 36+63= 99

Members present for the practice= 99-15= 84

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Vineet Srivastava
Dec 19, 2014

Let the number of females in the choir be F and the number of males in the choir be M. We are given the information that F/M=7/4 So 4F=7M ------------->Equation 1

Secondly, the ratio is also given when 12 males and 3 females are absent. So (F-3)/(M-12)=5/2 Which gives: 2F-6=5M-60------------------->Equation 2 Multiplying throughout by 2 to match coefficients with equation 1

4F-12=10M-120 But 4F=7M from equation 1.

So 7M-12=10M-120

3M=108 M=36 F=36 7/4=9 7=63 So total members=63+36=99 And a total of 15, (12+3) members are absent. So number of attendees is 99-15=84.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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