Question

If A:B=3:4 and B:C=8:9, then find A:C​

Answer 1

Step-by-step explanation:

3 : 4.5

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Answer 2

Answer: A:C = 2:3

Step-by-step explanation:

a/b = 3/4,

so,    4a =  3b  (by transposition)..........eq 1

 

b/c =  8/9,

So,     8c = 9b

 also,   b= 8c/9  ...... eq 2

Putting eq 2 into eq 1

4a = 3 ( 8c/9)

when you solve this, you will get

4a = 8c / 3

transpose 3 to the other side

4*3(a)  = 8c

12a = 8c

so,

a/c = 8/12 = 2/3

Hence,

a:c = 2:3

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