This wikiHow teaches you how to find out how many snaps you've sent and received by looking at your profile page.
Steps

Step #1. Open Snapchat
This is a yellow app with the silhouette of a ghost in it. This will take you to a camera view.

Step #2. Swipe down on the screen
This will open your profile page.
You can also tap the ghost in the top left corner of the page

Step #3. Tap on your username
It's in the center of the screen, below your display name. It is then replaced by two numbers separated by a vertical line.

Step #4. View the number of snaps sent and received
The number on the left is the number of snaps you have sent and the number on the right is the number of snaps you have received.