A bag contains 135 marbles some white and some transparent. The ratio of white marbles to transparent ones is 3 : 6. How many white marbles are there?

Respuesta :

Answer:

Number of white marbles in the bag = 45

Step-by-step explanation:

Total number of marbles in the bag = 135

Ratio of white marble to transparent ones = 3 : 6

Let number of white marbles be [tex]=3k[/tex]

Then number of transparent marble will be [tex]=6k[/tex]

Total number of marbles will be [tex]=3k+6k=9k[/tex]

So we have.

[tex]9k=135[/tex]

Dividing both sides by 9.

[tex]\frac{9k}{9}=\frac{135}{9}[/tex]

∴ [tex]k=15[/tex]

∴ Number of white marbles in the bag = [tex]3k=3\times15 = 45[/tex]