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 the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let blue marbles for Jane be x

The, red marbles for Jane will be 20 - x 

John has 30 marbles, 18 of which are red and 12 of which are blue. 

Thus,

 

We use the same ratio for Jane. 

 

3 × x = 2 × (20 - x) 

3x = 40 - 2x

5x = 40

John has 12 blue marbles. So, he has 12 - 8 = 4 more blue marbles than Jane.

Answered by  | 4th Jun, 2014, 03:23: PM

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