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.
1. What is the ratio of the number of medium jackets to the number of large jackets?
First, let's use the given information to write equations for the number of each size of jackets:
Let's say the number of small jackets is 5x.
Then, the number of medium jackets is 9x (since the ratio of small to medium jackets is 5:9).
And the number of large jackets is 3 times the number of small jackets, so it is 15x.
Now we can form the ratio of medium jackets to large jackets by dividing the number of medium jackets by the number of large jackets:
9x/15x = 3/5
Therefore, the ratio of the number of medium jackets to the number of large jackets is 3:5.