Question

Aunt Martina 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. Sparrowtown Bakery charges $2 for each cupcake, plus $50 for the large cake. Dakota's Sweet Shoppe charges $44 for the large cake and $4 for each cupcake. If Aunt Martina orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be? How many cupcakes would that include?

Answer 1

3 cupcakes

Total of $56

Explanation:

First we would need to create an expression for the total of each bakery, which would be the following with x representing the number of cupcakes.

2x + 50

4x + 44

Since we know that the total for both bakeries was the same we can simply make the expressions equal to one another and solve for x.

2x + 50 = 4x + 44 ... subtract 2x on both sides

50 = 2x + 44 ... subtract 44 on both sides

6 = 2x ... divide both sides by 2

3 = x

Finally, we can see that at 3 cupcakes the total for both bakeries will be the same and be a total of

2(3) + 50

6 + 50

$56