Answer:
Explanation:
Let the price of one bag of bagel = b
Let the price of one package of cream cheese = c
3 bags of bagels and 3 packages of cream cheese costs $16.50.

5 bags of bagels and 2 packages of cream cheese costs $22.25.

Thus, we derive a system of two linear equations which we then solve for b and c.
![\begin{gathered} 3b+3c=16.50\operatorname{\cdots}(1) \\ 5b+2c=22.25\operatorname{\cdots}(2) \end{gathered}]()
Multiply equation 1 by 5 and equation 2 by 3.

Subtract to eliminate b.

Divide both sides by 9:

Next, substitute c=1.75 into equation 1.

The price per bag of bagel is $3.75 and the price per package of cream cheese is $1.75.