Mr zucco baked a total of 270 cupcakes and muffins. After ue sold 1/3 of the cupcakes and baked 18 more miffins, he had twice as many cupcakes as muffins. How many cupcakes and muffins did mr. Zucco bake to begin with?

Let cupcakes = c and muffins = m.

c + m = 270

After 1/3 of cupcakes are sold (leaving 2c/3) and 18 more muffins are baked (m + 18), there are twice as many cupcakes as muffins:

2c/3 = 2 (m + 18)

2c/3 = 2m + 36

c = 3m + 54

Substituting into the original equation:

3m + 54 + m = 270

4m = 216

m = 54 muffins

c = 3 (54) + 54 = 216 cupcakes