Question

20. If 1A=38 and 4B=5C, then A:C=? (d) 3:4 (C) 15:8 (a) 4:5 (b) 8:15​

Answer 1

Answer:

Option C is your answer

Step-by-step explanation:

Answer 2

Answer:

A : C = 15 : 8

Step-by-step explanation:

I believe your Question was,

"If 2A = 3B and 4B = 5C, then A : C=? (d) 3:4 (C) 15:8 (a) 4:5 (b) 8:15"

Now, we have,

2A = 3B

then,

A = (3B)/2

Similarly,

4B = 5C

C = (4B)/5

Then,

A : C = (3B)/2 : (4B)/5

What we must know is that, ratios are basically division represented in a different form.

For ex:

a : b = (a/b) or (a ÷ b)

Then,

A : C = (3B/2) ÷ (4B/5)

A : C = (3B/2) × (5/4B)

A : C = (3B × 5)/(2 × 4B)

A : C = (15B)/(8B)

Taking Common factor B out we get,

A : C = 15/8

That is,

A : C = 15 : 8

Hope it helped you and believing you understood it....All the best