Question

In a box of marbles , 3/8 of the marbles are red 2/5 are blue and the rest are green . Of the red marbles 2/9 are spotted .Find the fraction of marbles that are :<br />​

Answer 1

Answer:

The fraction of marbles left in the box = 7/9

Step-by-step explanation:

There is a box of marbles.

It has red, blue and green marbles in the ratios 3/8 : 2/5 : 1 - 3/8 - 2/5

The ratio is : 3/8 : 2/5 : 9/40

Making the denominators of the ratios to the LCM of 8, 5 and 40 which is 40.

Ratio =  3.5/40 : 2.8/40 : 9/40 = 15 : 16 : 9

Let the total number of marbles be = 360 marbles according to the ratio.

2/9 of red marbles = 2/9 of 360 = 720/9 = 80

Fraction of marbles left in the box = 360-80/360

= 280/360 = 28/36 = 7/9

Answer 2

Answer:

Green Marbles = 9/40

Spotted Marbles = 1/12

Step-by-step explanation:

In a box of marbles , 3/8 of the marbles are red 2/5 are blue and the rest are green . Of the red marbles 2/9 are spotted

Let say total marbles  are    360 M

Red Marbles = (3/8) 360M = 135 M

Blue Marbles = (2/5) 360M = 144 M

Green Marbles = 360M - 135M - 144M =  81M

Spotted Marbles = (2/9) 135M  = 30M

Spotted Marbles ratio = 30M/360M = 1/12  

Green Marbles = 81M/360M = 9/40