A corner store sells two kinds of baked goods: cakes and pies. A cake costs $5 and a pie costs $4. In one day, the store sold 10 baked goods for a total of $46. a. Write a system of equations to represent this situation.

b. Show work, using substitution, to determine how many cakes were sold.

a. The system of equations is:

c+p=10

5c+4p=46

b. 6 cakes were sold.

Step-by-step explanation:

Let p be the number of pies and c be the number of cakes then according to given statements

Using eqn 1

c= 10-p

Putting in eqn 2

Putting p=4 in eqn 1

Hence,,

a. The system of equations is:

c+p=10

5c+4p=46

b. 6 cakes were sold.