Please help me solve this easy yr 7 problem: "A drawer contains purple socks and red socks...."

[Loc890]

A drawer contains purple socks and red socks. The chance of obtaining a red sock is 2 in 9. There are 10 red socks in the drawer. What is the smallest number of socks that need to be added to the drawer so that the probability of drawing a red sock increases to 3 in 7?

Thank you so much for your help!

 

[stapel]

A drawer contains purple socks and red socks. The chance of obtaining a red sock is 2 in 9. There are 10 red socks in the drawer. What is the smallest number of socks that need to be added to the drawer so that the probability of drawing a red sock increases to 3 in 7?

What are your thoughts? What have you tried? Where are you getting stuck?

Please be complete, starting with what you did with the "2 in 9" and "10 red socks" information.

Thank you!

 

[BigBeachBanana]

A drawer contains purple socks and red socks. The chance of obtaining a red sock is 2 in 9. There are 10 red socks in the drawer. What is the smallest number of socks that need to be added to the drawer so that the probability of drawing a red sock increases to 3 in 7?

Thank you so much for your help!

Can you figure out how many purple socks are there?