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
