Question

Aunt Kendra 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. Middletown Bakery charges $1 for each cupcake, plus $50 for the large cake. Joy's Sweet Shoppe charges $30 for the large cake and $2 for each cupcake. If Aunt Kendra orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be?

Answer 1

$70

Explanation:

Middletown Equation:

1c +50 = T

Sweet Shoppe Equation:

2c + 30 = T

Set equations equal to one another and solve for first for cupcakes then for cost.

1c + 50 = 2c + 30

c+ 20 = 2c

20 = c (twenty cupcakes would be ordered)

Now insert into either equation ( or both to check)

1(20) + 50 = 70

2(20)+ 30 = 70

Total cost would be $70

HOPE THIS HELPS!!!