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 sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, find the second number.
When x is subtracted from each of the numbers 54, 49, 22 and 21, the numbers so obtained are in proportion. The ratio of (8x - 25) to (7x - 26) is:
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.
A person carries Rs. 165/ - in the form of currency notes of denominations Rs. 5, Rs. 10 & Rs. 20 in the ratio of 3 : 2 : 1. What is the value of currency notes of Rs. 20 denomination?
If a: b = 5: 3, then (a³-b³): (a³+b³) = ?
