B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers

The ratio a:b:c in its simplest form is 15:8:20

Given the following parameters

To get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:

a:b:c = 3/4c : 2/5c :c

Multiply through by 20 to have:

a:b:c = 3/4c * 20 : 2/5c * 20: 20c

a:b:c = 15c:8c:20c

a:b:c = 15:8:20

Hence the ratio a:b:c in its simplest form is 15:8:20

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a : b : c = 12 : 10 : 15

Step-by-step explanation:

Given that: b = of c

 i.e             b = ............... 1

          2c = 5b

So that;

          c = .................... 2

Also,    

          4a = 3c

           a = ................ 3

⇒          a = × ()

             a = ................. 4

           15b = 8a

           b = ................. 5

Comparing the derived equations:

From equations 2 and 3,

a:c = : = 4:5

From equations 1 and 2,

b:c = : = 2:3

But a common value of b = 15, gives;

a : c = 12 : 15 and b : c = 10 : 15  

Thus, a : b : c = 12 : 10 : 15