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?
Thank you!
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
To find the number of female lions, we first need to calculate the total number of parts in the ratio. The ratio of male lions to female lions is 21:20, which means there are 21 + 20 = <<21+20=41>>41 parts in total.
Next, we divide the total number of lions by the total number of parts in the ratio:
Number of female lions = (Number of lions / Total parts) x Number of female parts
Number of female lions = (123 / 41) x 20
By simplifying the equation, we can find the number of female lions:
Number of female lions = 3 x 20
Number of female lions = 60
Therefore, there are 60 female lions in the animal reserve.
To find out how many of the lions are female, we first need to determine the ratio of female lions to the total number of lions.
The ratio of male lions to female lions is given as 21:20.
To find the ratio of female lions, we can use the concept of proportions. We set up a proportion as follows:
(20/20 + 21/20) = x/123
Simplifying the equation, we have:
41/20 = x/123
To solve for x, we cross multiply:
20 * x = 41 * 123
x = (41 * 123) / 20
Calculate the right side of the equation:
x = 2463
Since x represents the number of female lions, we have found that there are 2463 female lions in the animal reserve.