A bag contains 12 red marbles, 5 yellow marbles, and 15 green marbles. How many additional red marbles must be added to the 32 marbles already in the bag so that the probability of randomly drawing a red marble is ?

Respuesta :

Answer:

18 red marbles.

Step-by-step explanation:

The complete question asks the probability of randomly drawing a red marble is 3/5?

Let x be the number of red marbles that must be added.

To find x we will do the following:

[tex]\frac{x+12}{x+32} =\frac{3}{5}[/tex]

=>[tex]5(x+12)=3(x+32)[/tex]

=> [tex]5x+60=3x+96[/tex]

=> [tex]2x=36[/tex]

This gives x = 18

Hence, 18 red marbles will be added to the bag.