Ratio

Algebra Level 1

If A:B = 1:2, B:C = 4:1, C:D = 5:6, then A:B:C:D is equal to which of the following??

20:10:5:6 10:20:5:6 10:10:6:5 10:20:6:5

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2 solutions

Jerome Remo
Nov 13, 2014

If A/B =1/2 then in the ratio A:B:C:D put a for 1 and b for 2. It become 1:2:C:D. Then we have B/C = 4/1 in which substitute B=2 and find C=1/2. C/D=5/6 in which put C=1/2 then we get D as 3/5. So I get 1:2:1/2:3/5. I multiply all the numbers by 10. So the answer is 10:20:5:6

Vignesh Chella
Jul 29, 2014

If A/B =1/2 then in A:B:C:D put a for 1 and b for 2. It become 1:2:C:D. Then we have B/C = 4/1 in which substitute B=2 and find C=1/2. WKT C/D=5/6 in which put C=1/2 then we get D as 3/5 Now A:B:C:D can be as 1:2:1/2:3/5. Multiply each by 10 then we get 10:20:5:6.

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