Question

If A: B = 7:5, B: C = 2:3, and C: D = 4: 5, find the ratio A : D.

• A. 14:25
• B. 28:25
• C. 56:75
• D. 75:56

Answer 1

Answer:

C. 56:75

Given:

• (A:B = 7:5)

• (B:C = 2:3)

• (C:D = 4:5)

Match the common terms step by step.

1. Make the value of B the same:

• (A:B = 7:5 = 14:10)

• (B:C = 2:3 = 10:15) (multiply by 5)

So,
A:B:C = 14:10:15

2. Now match C with (C:D = 4:5):

• (A:B:C = 14:10:15 = 56:40:60) (multiply by 4)

• (C:D = 4:5 = 60:75) (multiply by 15)

Thus,
A:B:C:D = 56:40:60:75

Therefore,

$\boxed{A:D = 56:75}$

Answer: $(\boxed{56:75})$