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In ms E's park 1/3 of the total birds were grey color while the rest were either black or white. The white birds were twice as many as the black birds. After Ms E bought another 8 white birds and 8 black birds. The ratio of the number of white birds to the number of grey birds became 3:2. How many black birds did Ms E have in the end?

 Nov 10, 2021
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In ms E's park 1/3 of the total birds were grey in color while the rest were either black or white. The white birds were twice as many as the black birds. After Ms E bought another 8 white birds and 8 black birds. The ratio of the number of white birds to the number of grey birds became 3:2. How many black birds did Ms E have in the end?

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All birds => x

Grey => x/3  or  3x/9

Black => 2x/9

White => 4x/9

Ratio      W : G = 4 : 3     (Before 8 white birds were added)

New ratio =>         (4x/9 + 8) / (3x/9) = 3 / 2        x = 144

Black birds =>     2x/9 + 8 = 40

 Nov 10, 2021

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