Question

if a is to b is equal to 82 is to 5 and b is to c is equal to 4 is to 5, then c is to a is equal to?

Answer 1

Answer:

c : a = 25 : 328

Step-by-step explanation:

a : b = 82 : 5 ---- ( 1 )

b : c = 4 : 5 ---- ( 2 )

Using ( 1 )

a : b = 82 : 5

this type of equation can be written as,

a 82

=> ---- = -----

b 5

cross multiplying the equation,

=> 5a = 82b

5a

=> ------ = b

82

5a

=> b = ------ ---- ( 3 )

82

Similarly, using ( 2 )

b 4

=> ---- = -----

c 5

=> 4c = 5b

5b

=> c = -----

4

Here, using ( 3 ), we get,

5 5a

=> c = ----- X -----

4 82

25a

=> c = ---------

328

c 25

=> ---- = --------

a 328

=> c : a = 25 : 328

Hope it helps, Thank you