Answer:
Cost of each apple cake is $4 and Cost of each Lemon merinque cake is $14.
Explanation:
Let the cost of each apple cakes be 'x'.
Let the cost of each lemon merinque cake be 'y'.
Now Given:
Castel sold 6 apple cakes and 4 lemon merinque cakes for a total of $ 80.
So we can say that;
6 times cost of each apple cakes plus 4 times cost of each lemon merinque cake is equal to $ 80.
framing in equation form we get;
⇒ Equation 1
Also Given:
Gabriella sold 6 apple cakes and 5 lemon merinque cakes for a total of $ 94.
6 times cost of each apple cakes plus 5 times cost of each lemon merinque cake is equal to $ 94.
framing in equation form we get;
⇒ Equation 2
Now subtracting equation 1 from equation 2 we get;

Substituting the value of y in equation 1 we get;

Dividing both side by 6 we get;

Hence Cost of each apple cake is $4 and Cost of each Lemon merinque cake is $14.