Can you break down the solution for me for this math problem: A man is purchasing a pair of sneakers at a club store where he receives a membership discount of 10% off any purchase.  In addition to the membership discount, the man also has a coupon for $10 off any pair of sneakers.  If the man wants to purchase a $120 pair of sneakers and the membership discount must be applied after the coupon, how much will he pay for the sneakers after using both the coupon and membership discount?