OpenSAT

Let's represent the number of vanilla cupcakes as 'v'. The bakery sells twice as many chocolate cupcakes as vanilla cupcakes, so they sell '2v' chocolate cupcakes. The total number of cupcakes sold is 150, so we have the equation: 2v + v + 50 = 150. Combining like terms, we get 3v + 50 = 150. Subtracting 50 from both sides, we get 3v = 100. Dividing both sides by 3, we get v = 33.33. Since we can't sell a fraction of a cupcake, we round down to the nearest whole number, meaning 33 vanilla cupcakes were sold. Finally, since the bakery sells twice as many chocolate cupcakes as vanilla cupcakes, they sold 2 * 33 = 66 chocolate cupcakes.