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

1.	3. If A: B = 3:4 and B: C = 8:9, then find A:C
Answer» Step-by-step explanation: HIII So here is the answer to the question A/c = A/b * B/c =3/4 * 8/9 = 2/3 So a:c = 2:3 If you do not understand how it is done above i am providing another solution also. 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 43(a) = 8c 12A = 8c so, a/c = 8/12 = 2/3 Hence, a:c = 2:3 Hope it helps. Thanks! please* *mark* it as *BRAINLIEST***

Answer»

Step-by-step explanation:

HIII

So here is the answer to the question

A/c = A/b * B/c

=3/4 * 8/9

= 2/3

So a:c = 2:3

If you do not understand how it is done above i am providing another solution also.

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

Hope it helps.

Thanks!

please mark it as *BRAINLIEST***