Question

a:b = 2:5 and 4b=5c. Work out a : c in its simplest form.

Answer 1

Answer: 1 : 2

Step-by-step explanation:

a = 2

b = 5

4b = 4(5) = 20

20 = 5c

20/5 = c

c = 4

a : c = 2 : 4 = 1 : 2

Answer 2

Answer:

1:2

Step-by-step explanation:

4b=5c

4b/c=5

b/c=5/4

b/c=5x/4x-----(1)

and a:b=2:5

let it be a/b=2x/5x-------(2)

multiplying (1) and (2)

a/b×b/c=2x/5x×5x/4x

a/c=2x/4x

a/c=1/2

a:c=1:2

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