The ratio of the number of male lions to female lions in the animal reserves is 21:20. If there are 123 lions in the animal reserve, how many of the lions are female?

Question

Thank you!

Answer 1

m = number of male lions

f = number of female lions

m / f = 21 / 20 Multiply both sides by 20

20 m / f = 21 * 20 / 20

20 m / f = 21 Multiply both sides by f

20 m * f / f = 21 * f

20 m = 21 f Divide both sides by 20

20 m / 20 = 21 f / 20

m = 21 f / 20

m + f = 123
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Remark f = 20 f / 20
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21 f / 20 + 20 f / 20 = 123

41 f / 20 = 123 Multiply both sides by 20

41 f * 20 / 20 = 123 * 20

41 f = 2460 Divide both side by 41

41 f / 41 = 2460 / 41

f = 2460 / 41 = 60

Answer 2

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