Amy and Kim found a sale in a sporting goods store. Amy spent $33 on 2 pair of shorts and 3 packages of socks. Kim spent $27 on 1 pair of shorts and 5 packages of socks. How much does one of each item cost?

2 shorts + 3 socks = 33

1 shorts + 5 socks = 27
so,
2 shorts + 10 socks = 54

subtract one equation from the other:

7 socks = 21
socks = 3
so, shorts = 12