Try this beautiful problem from the Pre-RMO, 2017 based on ratio.
Problem on Ratio - PRMO 2017
In a sports team, the total number of boys and girls are in the ratio 4:3. On one day it was found that 8 boys and 14 girls were absent from the team and that the number of boys was the square of the number of girls, find the total number of members in the sports team.
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six which is equivalent to 4:3.
Try this Problem from AMC 10B - 2020 - Problem No.-3
The ratio of w to x, y to z and z to x are 4:3, 3:2 and 1:6 respectively . What is the ratio of w to y ?
A) 4:3 B) 3:2 C) 8:3 D) 4:1 E) 16 :3
American Mathematics Competition 10 (AMC 10B), 2020, Problem Number 3
Ratio
3 out of 10
Mathematics can be fun
Knowledge Graph
Use some hints
This one is an easy sum to solve but those who are confused right now can use the first hint :
The ratio of w : x = 4 : 3 ; so we can write it \(\frac {w}{x} = \frac {4}{3}\). Similarly we can do it for the other given ratios. Try to do it......
I think you have already got the answer . If not then try this out .....
z : x = 1 : 6 i.e \(\frac {z}{x} = \frac {1}{6} \)
y : z = 3 : 2 i.e \(\frac {y}{z} = \frac {3}{2}\)
This hint is the final hint as already mentioned in header :
The given problem is based upon calculating the number of marbles in jars of specific color, to do so we have to use ratios of the marbles of different colors and use the ratio to calculate the actual number of marbles of required color.
Try the problem
Two jars each contain the same number of marbles, and every marble is either blue or green. In Jar $1$ the ratio of blue to green marbles is $9:1$, and the ratio of blue to green marbles in Jar $2$ is $8:1$. There are $95$ green marbles in all. How many more blue marbles are in Jar $1$ than in Jar $2$?
