If \(a:b = 12:13\) and \(b:c = 4:5\), what is \(a:c\)?
48:65
Given \(a:b = 12:13\) and \(b:c = 4:5\), make b common by scaling: multiply the first ratio by 4 and the second by 13.
\(a:b = 48:52\) and \(b:c = 52:65\), so b is now the same (52) in both.
Hence, \(a:b:c = 48:52:65\), giving \(a:c = 48:65\).
Similar Questions
- What is the compound ratio of $45 : 75$, $3 : 5$, $51 : 68$ and $256 : 81$?
The following ratios are given:
\(a : b = 2 : 3\)
\(b : c = 4 : 5\)
\(c : d = 3 : 2\)
\(d : e = 5 : 4\)
What is the value of the ratio a : e?
Important Questions from Compound Ratios
The train fare, bus fare and air fare between 2 places are in the ratio 5 : 8 : 12, the number of passenger travelled by them is in the ratio 3 : 4 : 5 and the total fare collected on a particular day for these modes of transportation for a single trip is Rs. 1,07,000. Find the fare collected from the air passengers.
The compounded ratio of (1 ∶ 3), (6 ∶ 5) and (7 ∶10) is:
Rs. 750 are divided among A, B and C in such a manner that A : B = 5 : 2 and B : C = 7 : 13, What is A’s share?
Rs. 750 are divided among A, B and C in such a manner that A : B = 5 : 2 and B : C = 7 : 13, What is B’s share?
Two numbers are in the ratio 3 : 5. If 4 is subtracted from each of these two numbers, the new numbers then are in the ratio 4 : 7. Find the smaller of the two original numbers.
