A shop sells jackets in three sizes. The ratio of the number of small jackets to the number of medium jackets is 5:9. The number of large jackets is 3 times the number of small jackets. What is the ratio of the number of medium jackets to the number of large jackets?
Let the number of small jackets be 5x and the number of medium jackets be 9x. Then the number of large jackets is 3*(5x) = 15x.
The ratio of the number of medium jackets to the number of large jackets is 9x:15x or 9:15. Dividing both sides of the ratio by 3, we get 3:5.
Therefore, the ratio of the number of medium jackets to the number of large jackets is 3:5.