Answer: There are 138 short sleeves t-shirts.
Explanation:
Given : In August Emily's clothing store sold 460 shirts with the ratio of short sleeve to long sleeve being 3:7.
Let the number of short sleeves shirts be 3x and the number of long sleeves shirts be 7x.
Then, according to the given question, we have

Now, the number of short sleeves shirt = 3(46)=138
Hence , there are 138 short sleeves shirts.