Question

In a bag of marbles, 3/2
of the marbles are blue and the rest are red. If the number of red
marbles is doubled and the number of blue marbles stays the same, what fraction of the
marbles will be red?

Answer 1

Given:

A bag of marbles.

Ratio of blue marbles =2/3

Remaining are red.

Number of red is doubled and number of blue remains same.

To Find:

The fraction of the  marbles which will be red.

Solution:

Let total number of marbles = x

• Number of blue = 2x/3

• Number of red = x/3

Number of red is doubled.

• Number of red = 2x/3

Total number of balls now = 4x/3

• Fraction of red balls = (2x/3)/ ( 4x/3) = 1/2

The fraction of the marbles which are red is 1/2.