Advertisements
Advertisements
Question
If A : B = 3 : 4 and B : C = 6 : 7, find:
- A : B : C
- A : C
Advertisements
Solution
i. A : B : C
`A/B = 3/4`
= `3/4 xx 3/4`
= `9/12`
`B/C = 6/7`
= `6/7 xx 2/2`
= `12/14`
A : B : C = 9 : 12 : 14
ii. A : C
`A/B = 3/4`
`B/C = 6/7`
∴ `A/C = (A/B)/(C/B)`
= `(3/4)/(7/6)`
= `3/4 xx 6/7`
= `9/14`
∴ A : C = 9 : 14
RELATED QUESTIONS
Express the following ratios in its simplest form :
2 years: 9 months
Mr. Gupta divides Rs 81000 among his three children Ashok, Mohit, and Geeta in such a way that Ashok gets four times what Mohit gets and Mohit gets 2.5 times what Geeta gets. Find the share of each of them.
The ratio of copper and zinc in an alloy is 9 : 8. If the weight of zinc, in the alloy, is 9.6 kg; find the weight of copper in the alloy.
Find the third proportional to ₹1.60, ₹0.40
In the example below, find the ratio of the first number to the second.
35, 65
A school collected Rs 2100 for charity. It was decided to divide the money between an orphanage and a blind school in the ratio of 3 : 4. How much money did each receive?
40 men can finish a piece of work in 26 days. How many men will be needed to finish it in 16 days?
The ratio of the number of sides of a square to the number of edges of a cube is ______.
In the following figure, division represents 1 cm:
Express numerically the ratios of the following distances:
AC : AF
In the following figure, find the ratio of the area of the shaded portion to that of the whole figure:
