john has 30 marbles 18 of which are red and 12 of which are blue. jane has 20 marbles all of them either red or blue if the ratio of the red marbles to blue marbles is the same for both john and jane the john has how many more blue marbles than jane?
Answers
This is a question on ratio.
The ratio of red marbles to blue marbles for John:
18/12 = 3/2
= 3:2
this ratio is same for Jane :
Jane has 20 marbles.
the ratio of red to blue = 3 : 2
Sum of the ratios = 3 + 2 = 5
Red marbles = 3/5 × 20 = 12 Marbles .
Blue Marbles = 20 - 12 = 8
the difference between the blue marbles is :
12 - 8 = 4 blue Marbles
Given:
John has 12 marbles.
18 Red
12 Blue
Jane has 20 marbles.
All of them either red or blue if the ratio of the red marbles to blue marbles is the same for both john and jane.
To find:
The number of blue marbles John has more than jane
Solution:
For John,
Red : Blue
18 : 12
That is,
18/12
3/2
Ratio of red and blue marbles of john = 3 : 2
For Jane,
Red : Blue
3 : 2
Ratio of red and blue marbles of JAne = 3 : 2
Sum of the ratios = 3 + 2 = 5
To find the number of red marbles john has,
3/5 × 20
John has 12 red marbles.
To find the number of blue marbles john has
20 - 12
John has 8 blue marbles.
To calculate the number of blue marbles john has more than Jane,
12 - 8
John has 4 blue marbles more than Jane.