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the ratio of the number of male lions to female lions is 21:20; if there are 123 lions, how many lions are female?

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naǫ
x - male lions
y - female lions

The ratio of the number of male lions to female lions is 21:20.
[tex]\frac{x}{y}=\frac{21}{20} \\ x=\frac{21}{20}y[/tex]

There are 123 lions.
[tex]x+y=123 \\ x=123-y[/tex]

Set both equations equal to each other:
[tex]x=x \\ \frac{21}{20}y=123-y \ \ \ |+y \\ \frac{21}{20}y+y=123 \ \ \ |\times 20 \\ 21y+20y=2460 \\ 41y=2460 \ \ \ |\div 41 \\ y=60[/tex]

There are 60 female lions.
13Equestrian

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