If A:B = 8:15, B:C = 5:8, and C:D = 5:4, then A:B:C:D is?

8:20:13:4

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8:15:8:4

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45:70:120:96

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40:75:120:96

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Solution

The correct option is D 40:75:120:96
$A : B B : C A : B : C = 8 : 15 : 8 \times 3 = 8 : 15 : 24 A : B : C \frac{C : D}{A : B : C : D} = 8 \times 5 : 15 \times 5 : 24 \times 5 : 4 \times 24 = 40 : 75 : 120 : 96$

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