At an ice cream shop sundae are double the cost of an ice cream cone in one hour period the shop sold 26 cones and 8 sundae fora total of 94.50$ how much does each item cost

One sundae costs $4.5 while one ice cream cone cost $2.25

Step-by-step explanation:

Firstly, we append variables to the values of the cost of one sundae and one ice cream cone. Let the cost of one sundae be s and the cost of an ice cream cone be c.

We are told that 1 sundae doubles the cost of an ice cream cone. Mathematically:

S = 2C ... (I)

Then in one hour period, there was a sale of 26 ice cream cones and 8 sundae that cost $94.5. Mathematically:

26c + 8s = 94.5 ... (ii)

Solving simultaneously, we insert i into ii

26c + 8 (2c) = 94.5

26c + 16c = 94.5

42c = 94.5

c = 94.5/42 = $2.25

Since S = 2c

S = 2 (2.25) = $4.5