Question

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 ?

Answer 1

18 red marbles.

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:

`(x+12)/(x+32) =(3)/(5)`

=>
`5(x+12)=3(x+32)`

=>
`5x+60=3x+96`

=>
`2x=36`

This gives x = 18

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