Answer :
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.
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.
Answer:
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