A bakery makes a $5 profit for each cake it sells. It makes a $6 profit for each pie it sells. The expression 5c + 6p represents the profit for selling c cakes and p pies. How much profit is made if the bakery sells 10 cakes and 7 pies?

To find out how much profit is made if the bakery sells 10 cakes and 7 pies, we substitute 10 for c and 7 for p in the expression 5c + 6p. Therefore the expression becomes:

5(10) + 6(7) = 50 + 42 = 92

Therefore the bakery makes a profit of $92 if it sells 10 cakes and 7 pies. Answer: \boxed{92}.