Write a system of equations, graph them, and type the solution.

Question

Aunt Maddie 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. Washington Bakery charges $3 for each cupcake, plus $50 for the large cake. Kira's Sweet Shoppe charges $40 for the large cake and $4 for each cupcake. If Aunt Maddie orders a certain number of cupcakes, the cost will be the same at either bakery. How many cupcakes would that include?

Write a system of equations, graph them, and type the solution.

Answer 1

W=3c+50L

B= 4c+40L

W=B

3c+50=4c+40

c=10 cupcakes and Large cake