Question

if a:b =5:2 and b:c=3:4 find a:b:c​

Answer 1

Answer....

Step-by-step explanation:

Answer 2

Answer:

I’m going to assume you want the value of a:c (since the value of a:b = 2:5 as specified in the question).

Another way to write this is:

ab=25 and bc=34

You want to find ac and we can do this by isolating b in one of the equations and substituting b in the other equation:

bc=34

b=3c4

now:

ab=25

a3c4=25

4a3c=25

ac=25∗34

ac=620

ac=310

So the value of a:c is 3:10.

Another way to do this is to find the common factor for b: a number that is a common factor for both 5 and 3. This number is 15. So a:b = 2:5 = 6:15. Also b:c = 3:4 = 15:20. So a:b:c = 6:15:20 and a:c is 6:20 = 3:10.

Step-by-step explanation:

Hope you understand