Algebra-2

Let the price of each sundae be dollars. Then, the price of each cone is dollars.  

Let the number of cones be and the number of sundaes be .  

Set up the equations:

1. Total quantity:  

2. Total cost for cones:  

3. Total cost for sundaes:  

Solve the system:

Express from equation (1):  

Substitute (4) into equation (3):  

Substitute (5) into equation (2):  

Multiply through by to eliminate the denominator: