Aunt Lucy is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Fairview Bakery charges $3 for each cupcake, plus $25 for the large cake. Terrell's Sweet Shoppe charges $57 for the large cake and $1 for each cupcake. If Aunt Lucy orders a certain number of cupcakes, the cost will be the same at either bakery. How many cupcakes would that include? What would the total cost be?

After ordering 16 cupcakes the cost would be same at both the places.

The total cost at both places would $73 when 16 cupcakes are ordered.

Step-by-step explanation:

We need to find the number of cup cakes Aunt Lucy ordered when the cost will be the same at either bakery.

Also What will be the Total cost.

Given:

Fairview Bakery charges:

Cost of each cup cake = $3

Cost of large cake = $25

Let the number of cupcakes ordered be 'x'.

So we can say that;

Total cost will be equal to sum of Cost of large cake and Cost of each cup cake multiplied by number of cupcakes ordered.

framing in equation form we get;

Total cost =

Terrell's Sweet Shoppe charges:

Cost of each cup cake = $1

Cost of large cake = $57

So we can say that;

Total cost will be equal to sum of Cost of large cake and Cost of each cup cake multiplied by number of cupcakes ordered.

framing in equation form we get;

Total cost =

To find the number of cupcakes ordered for the total cost would be same at both place we will make both the equations equal.

So we get;

Combining the like terms we get;

Dividing both side by 2 we get;

Hence After ordering 16 cupcakes the cost would be same at both the places.

Total cost after 16 cupcakes at Fairview Bakery =

Total cost after 16 cupcakes at  Terrell's Sweet Shoppe =

Hence The total cost at both places would $73 when 16 cupcakes are ordered.

-14 is the answer

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